FANDOM


65536 is a positive integer equal to \(2^{16} = 2^{2^{2^{2}}} = 2 \uparrow\uparrow 4 = 2 \uparrow\uparrow\uparrow 3\). It is the largest power tower of 2's that can be expressed in a compact digital form (as \(2 \uparrow\uparrow 5\) is an integer of 19729 decimal digits). It is also the only nontrivial result of pentation expressible in compact digital form — \(^52\) has 19729 decimal digits, and \(^62\) has well over a googol decimal digits.

It is found commonly in computer science, being the number of different values expressible in 16 bits (a short integer).

Its full name in English is "sixty-five thousand five hundred thirty-six."

Sbiis Saibian calls this number octal-clover mite.[1]

Username5243 calls this number Binary-Dooquol or Binary-Tootol, and it's equal to 2[2]4 = 2[3]3 in Username5243's Array Notation.[2]

In googological notations Edit

There are many notations where 65536 can be expressed:

Notation Expression
Scientific notation \(6.5536 \times 10^{4}\)
Up-arrow notation \(2 \uparrow 16\), \(2 \uparrow\uparrow 4\), \(2 \uparrow\uparrow\uparrow 3\)
BEAF \(\lbrace 2,16 \rbrace \), \(\lbrace 2,4,2 \rbrace \), \(\lbrace 2,3,3 \rbrace \)
Chained arrow notation \(2 \rightarrow 16\), \(2 \rightarrow 4 \rightarrow 2\), \(2 \rightarrow 3 \rightarrow 3\)
Hyper-E notation \(E(2)1\#4\)
Strong array notation s(2,16), s(2,4,2), s(2,3,3)

Sources Edit

  1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2016-07-17.
  2. Part 1 - My Large Numbers

See also Edit

See also Edit


Saibian's guppy regiment numbers
n-ary numbers with multipliers
Eyelash mite group: eyelash mite-speck · eyelash mite-crumb · eyelash mite-chunk · (binary/ternary/octal)eyelash mite · eyelash mite-bunch · eyelash mite-crowd · eyelash mite-swarm
Dust mite group: dust mite-speck · dust mite-crumb · dust mite-chunk · (binary/ternary/octal)dust mite · dust mite-bunch · dust mite-crowd · dust mite-swarm
Cheese mite group: cheese mite-speck · cheese mite-crumb · cheese mite-chunk · (binary/ternary/octal)cheese mite · cheese mite-bunch · cheese mite-crowd · cheese mite-swarm
Clover mite group: clover mite-speck · clover mite-crumb · clover mite-chunk · (binary/ternary/octal)clover mite · clover mite-bunch · clover mite-crowd · clover mite-swarm
Pipsqueak group: (binary/ternary/octal)pipsqueak
Little squeaker group: (binary/ternary/octal)little squeaker
Small fry group: (binary/ternary/octal)small fry
Guppy group: (binary/ternary/octal)guppyspeck · (binary/ternary/octal)guppycrumb · (binary/ternary/octal)guppychunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)guppy(bit/byte)
Minnow group: (binary/ternary/octal)minnowspeck · (binary/ternary/octal)minnowcrumb · (binary/ternary/octal)minnowchunk · (ternary)minnow(bit/byte)
Goby group: (binary/ternary/octal)gobyspeck · (binary/ternary/octal)gobycrumb · (binary/ternary/octal)gobychunk · (ternary)goby(bit/byte)
Gogol group: (binary/ternary/octal)gogolspeck · (binary/ternary/octal)gogolcrumb · (binary/ternary/octal)gogolchunk · (ternary/quadternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)gogol(bit/byte)
Jumbo shrimp group: (binary/ternary/octal)jumbo shrimp
Lightweight group: (binary/ternary/octal)lightweight
Ogol group: (binary/ternary/octal)ogolspeck · (binary/ternary/octal)ogolcrumb · (binary/ternary/octal)ogolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)ogol(bit/byte)
Tiny twerpuloid group: (binary/ternary/octal)tiny twerpuloid
Googol group: (binary/ternary/octal)googolspeck · (binary/ternary/octal)googolcrumb · (binary/ternary/octal)googolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)googol(bit/byte) · googolbunch · googolcrowd · googolswarm
Eceton group: ecetonspeck · ecetoncrumb · ecetonchunk · ecetonbunch · ecetoncrowd · ecetonswarm
Numbers with -plex
-plex group: (fz-)milliplexion · billiplexion · trilliplexion · guppyplex · googolplexibit · gogolplex · googolplexibyte · ecetonplex · googolplexichime · googolplexitoll · googolplexigong · googolplexibong · googolplexithrong
-duplex group: milliduplexion · billiduplexion · trilliduplexion · guppyduplex · googolduplexibit · gogolduplex · googolduplexibyte · ecetonduplex · googolduplexichime · googolduplexitoll · googolduplexigong · googolduplexibong · googolduplexithrong
-triplex group: millitriplexion · billitriplexion · trillitriplexion · guppytriplex · googoltriplexibit · gogoltriplex · googoltriplexibyte · ecetontriplex · googoltriplexichime · googoltriplexitoll · googoltriplexigong · googoltriplexithrong
-quadriplex group: guppyquadriplex · googolquadriplexibit · gogolquadriplex · googolquadriplexibyte · ecetonquadriplex · googolquadriplexichime · googolquadriplexitoll · googolquadriplexigong
-quintiplex group: guppyquintiplex · googolquintiplexibit · gogolquintiplex · googolquintiplexibyte · ecetonquintiplex · googolquintiplexichime · googolquintiplexitoll · googolquintiplexigong
-sextiplex group: guppysextiplex · googolsextiplexibit · gogolsextiplex · googolsextiplexibyte · ecetonsextiplex · googolsextiplexichime · googolsextiplexitoll · googolsextiplexigong
-septiplex group: guppyseptiplex · googolseptiplexibit · gogolseptiplex · googolseptiplexibyte · ecetonseptiplex · googolseptiplexichime · googolseptiplexitoll · googolseptiplexigong
-octiplex group: guppyoctiplex · googoloctiplexibit · gogoloctiplex · googoloctiplexibyte · ecetonoctiplex · googoloctiplexichime · googoloctiplexitoll · googoloctiplexigong
-noniplex group: guppynoniplex · googolnoniplexibit · gogolnoniplex · googolnoniplexibyte · ecetonnoniplex · googolnoniplexichime · googolnoniplexitoll · googolnoniplexigong
-deciplex group: guppydeciplex · googoldeciplexibit · gogoldeciplex · googoldeciplexibyte · ecetondeciplex · googoldeciplexichime · googoldeciplexitoll · googoldeciplexigong · googoldeciplexibong · googoldeciplexithrong
-vigintiplex group: guppyvigintiplex · googolvigintiplexibit · gogolvigintiplex · googolvigintiplexibyte · eceton-vigintiplex · googolvigintiplexichime · googolvigintiplexitoll · googolvigintiplexigong
-trigintiplex group: guppytrigintiplex · googoltrigintiplexibit · gogoltrigintiplex · googoltrigintiplexibyte · eceton-trigintiplex · googoltrigintiplexichime · googoltrigintiplexitoll · googoltrigintiplexigong
-quadragintiplex group: guppyquadragintiplex · googolquadragintiplexibit · gogolquadragintiplex · googolquadragintiplexibyte · eceton-quadragintiplex · googolquadragintiplexichime · googolquadragintiplexitoll · googolquadragintiplexigong
-quinquagintiplex group: guppyquinquagintiplex · googolquinquagintiplexibit · gogolquinquagintiplex · googolquinquagintiplexibyte · eceton-quinquagintiplex · googolquinquagintiplexichime · googolquinquagintiplexitoll · googolquinquagintiplexigong
-sexagintiplex group: guppysexagintiplex · googolsexagintiplexibit · gogolsexagintiplex · googolsexagintiplexibyte · eceton-sexagintiplex · googolsexagintiplexichime · googolsexagintiplexitoll · googolsexagintiplexigong
-septuagintiplex group: guppyseptuagintiplex · googolseptuagintiplexibit · gogolseptuagintiplex · googolseptuagintiplexibyte · eceton-septuagintiplex · googolseptuagintiplexichime · googolseptuagintiplexitoll · googolseptuagintiplexigong
-octogintiplex group: guppyoctogintiplex · googoloctogintiplexibit · gogoloctogintiplex · googoloctogintiplexibyte · eceton-octogintiplex · googoloctogintiplexichime · googoloctogintiplexitoll · googoloctogintiplexigong
-nonagintiplex group: guppynonagintiplex · googolnonagintiplexibit · gogolnonagintiplex · googolnonagintiplexibyte · eceton-nonagintiplex · googolnonagintiplexichime · googolnonagintiplexitoll · googolnonagintiplexigong
-centiplex group: guppycentiplex · googolcentiplexibit · gogolcentiplex · googolcentiplexibyte · eceton-centiplex · googolcentiplexichime · googolcentiplexitoll · googolcentiplexigong · googolcentiplexibong · googolcentiplexithrong
-milliplex group: guppymilliplex · googolmilliplexibit · gogolmilliplex · googolmilliplexibyte · eceton-milliplex · googolmilliplexichime · googolmilliplexitoll · googolmilliplexigong · googolmilliplexibong · googolmilliplexithrong
-milli-milliplex group: guppymilli-milliplex · googolmilli-milliplexibit · gogolmilli-milliplex · googolmilli-milliplexibyte · eceton-millimilliplex · googolmillimilliplexichime · googolmillimilliplexitoll · googolmillimilliplexigong · googolmillimilliplexibong · googolmillimilliplexithrong


Numbers by Username5243
Googol Regiment
Niloogol · Niloogolplex · Niloogolduplex · Niloogoltriplex · Niloogolquadriplex · Niloogolquintiplex · Niloogolsextiplex · Niloogolseptiplex · Niloogoloctiplex · Niloogolnoniplex · Goonol · Goodol · Gootol · Gooquol · Gooqnol · Goosol · Goospol · Gooctol · Goonvol· Goodcol · Goovol · Gooqtol · Gootirol · Gooqrol · Goohfol · Gooxtol · Goostol · Gootgol · Goontol · Gooducol · Gooqnicol · Goomol · Goomyrol · Binary-Googol · Binary-Goonol · Binary-Goodol · Binary-Gootol · Binary-Gooquol · Binary-Gooqnol · Binary-Goovol · Binary-Gooqtol · Binary-Gootirol · Binary-Goohfol · Binary-Goomol · Binary-Goomyrol · Ternary-Googol · Ternary-Goonol · Ternary-Goodol · Ternary-Gooqnol · Ternary-Goodcol · Ternary-Gooqtol · Ternary-Goohfol · Ternary-Goomol · Ternary-Goomyrol · Quaternary-Googol · Quinary-Googol · Senary-Googol · Septary-Googol · Octal-Googol · Octal-Goonol · Octal-Goodol · Octal-Gooqnol · Octal-Goodcol · Octal-Gooqtol · Octal-Goohfol · Octal-Goomol · Octal-Goomyrol · Novary-Googol · Undecimal-Googol · Duodecimal-Googol · Hexadecimal-Googol · Hexadecimal-Goonol · Hexadecimal-Gooqnol · Hexadecimal-Goodcol · Hexadecimal-Goohfol · Hexadecimal-Goomol · Hexadecimal-Goomyrol · Vigesimal-Googol · Trigesimal-Googol · Sexagesimal-Googol · Googolnilex · Niloogolunex · Goonolplex · Goodolplex · Gootolplex · Gooquolplex · Gooqnolplex · Goosolplex · Goospolplex · Gooctolplex · Goonvolplex · Goodcolplex · Goovolplex · Gooqtolplex · Goohfolplex · Gooducolplex · Goomolplex · Goomyrolplex · Binary-Googolplex · Binary-Goonolplex · Binary-Gooqnolplex · Binary-Goodcolplex · Binary-Goohfolplex · Binary-Goomolplex · Ternary-Googolplex · Quaternary-Googolplex · Quinary-Googolplex · Octal-Googolplex · Duodecimal-Googolplex · Hexadecimal-Googolplex · Vigesimal-Googolplex · Sexagesimal-Googolplex · Googolduplex · Gooqnolduplex · Goodcolduplex · Goomolduplex · Goomyrolduplex · Binary-Googolduplex · Hexadecimal-Googolduplex · Googoltriplex · Goomoltriplex · Googolquadriplex · Googolquintiplex · Googolsextiplex · Googolseptiplex · Googoloctiplex · Googolnoniplex · Googoldeciplex
Doogol Regiment
Doogol · Doonol · Doodol · Dootol · Dooquol · Dooqnol · Doosol · Doospol · Dooctol · Doonvol · Doodcol · Doovol · Dooqtol · Dootrol · Dooqrol · Doohfol · Dooxtol · Doostol · Dootgol · Doontol · Dooducol · Dooqnicol · Doomol · Doomyrol · Binary-Doogol · Binary-Doonol · Binary-Doodol · Binary-Dootol · Binary-Dooquol · Binary-Dooqnol · Binary-Doodcol · Binary-Doovol · Binary-Doohfol · Binary-Doomol · Binary-Doomyrol · Ternary-Doonol · Ternary-Doodol · Ternary-Dooqnol · Ternary-Doodcol · Ternary-Doogol · Ternary-Doomol · Quaternary-Doogol · Quinary-Doogol · Octal-Doogol · Octal-Doonol · Octal-Dooqnol · Octal-Doodcol · Octal-Doomol · Duodecimal-Doogol · Hexadecimal-Doogol · Vigesimal-Doogol · Doogolunex · Doogolduunex · Doogoltriunex · Doogolquadriunex · Googolduex · Goonolduex · Goodolduex · Gooqnolduex · Goodcolduex · Goovolduex · Goohfolduex · Goomolduex · Goomyrolduex · Binary-Googolduex · Binary-Goodcolduex · Binary-Goomolduex · Ternary-Googolduex · Octal-Googolduex · Hexadecimal-Googolduex · Googolplexiduex · Gooqnolplexiduex · Goodcolplexiduex · Goomolplexiduex · Binary-Googolplexiduex · Googolduplexiduex · Goodcolduplexiduex · Googoltriplexiduex · Googolquadriplexiduex · Googolquintiplexiduex · Doogolplex · Doogolduex · Dooqnolplex · Doodcolplex · Doovolplex · Dooqtolplex · Doohfolplex · Doomolplex · Doomyrolplex · Binary-Doogolplex · Binary-Doodcolplex · Binary-Doomolplex · Ternary-Doogolplex · Octal-Doogolplex · Hexadecimal-Doogolplex · Googolduduex · Goodcolduduex · Goomolduduex · Binary-Googolduduex · Googolplexiduduex · Goodcolplexiduduex · Googolduplexiduduex · Googoltriplexiduduex · Googolquadriplexiduduex · Doogolduplex · Doodcolduplex · Doomolduplex · Doomyrolduplex · Binary-Doogolduplex · Googolplexitriduex · Googolduplexitriduex · Doogoltriplex · Googolquadriduex · Googolplexiquadriduex · Doogolquadriplex · Googolquintiduex · Doogolquintiplex · Doogolsextiplex · Doogolseptiplex · Doogoloctiplex · Doogolnoniplex · Doogoldeciplex
Toogol Regiment
Toogol · Toonol · Toodol · Tootol · Tooquol · Tooqnol · Toosol · Toospol · Tooctol · Toonvol · Toodcol · Toovol · Tooqtol · Tootrol · Tooqrol · Toohfol · Tooducol · Toomol · Toomyrol · Binary-Toogol · Binary-Toodol · Binary-Tootol · Binary-Tooquol · Binary-Tooqnol · Binary-Toodcol · Binary-Toohfol · Binary-Toomol · Ternary-Toogol · Ternary-Toodol · Ternary-Tooqnol · Ternary-Toodcol · Ternary-Toomol · Quaternary-Toogol · Octal-Toogol · Octal-Toodcol · Duodecimal-Toogol · Hexadecimal-Toogol · Toogolunex · Toogolduunex · Toogolduex · Toogolplexiduex · Toogolduexiplex · Toogolduduex · Googoltrex · Goonoltrex · Gooqnoltrex · Goodcoltrex · Goohfoltrex · Goomoltrex · Goomyroltrex · Binary-Googoltrex · Ternary-Googoltrex · Octal-Googoltrex · Hexadecimal-Googoltrex · Googolplexitrex · Goodcolplexitrex · Goomolplexitrex · Binary-Googolplexitrex · Googolduplexitrex · Googoltriplexitrex · Googolquadriplexitrex · Doogoltrex · Dooqnoltrex · Doodcoltrex · Doomoltrex · Doomyroltrex · Binary-Doogoltrex · Octal-Doogoltrex · Hexadecimal-Googoltrex · Googolduexitrex · Goodcolduexitrex · Goomolduexitrex · Binary-Googolduexitrex · Googolplexiduexitrex · Googolduplexiduexitrex · Doogolplexitrex · Doodcolplexitrex · Doomolplexitrex · Binary-Doogolplexitrex · Googolduduexitrex · Googolplexiduduexitrex · Doogolduplexitrex · Googoltriduexitrex · Doogoltriplexitrex · Doogolquadriplexitrex · Toogolplex · Toogoltrex · Toonolplex · Tooqnolplex · Toodcolplex · Toomolplex · Toomyrolplex · Binary-Toogolplex · Octal-Toogolplex · Googoldutrex · Goodcoldutrex · Googolplexidutrex · Googolduplexidutrex · Doogoldutrex · Doodcoldutrex · Googolduexidutrex · Doogolplexidutrex · Doogolduplexitrex · Toogolduplex · Toodcolduplex · Toomolduplex · Binary-Toogolduplex · Googoltritrex · Googolplexitritrex · Doogoltritrex · Googoldexidutrex · Doogolplexitritrex · Toogoltriplex · Googolquadritrex · Doogolquadritrex · Toogolquadriplex · Toogolquintiplex · Toogolsextiplex · Toogolseptiplex · Toogoloctiplex · Toogolnoniplex · Toogoldeciplex

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