32768

32,768 is a positive integer equal to \(2^{15} = 2^{2^4 - 1}\). It is notable in computer science for being the absolute value of the maximum negative value of a 16-bit signed integer, which spans the range [-32768, 32767]. In English, its full name is "thirty-two thousand seven hundred sixty-eight."
Sbiis Saibian calls 32,768 octal-cheese mite, binary-small fry, binary-guppycrumb and binary-minnowspeck.
Aarex Tiaokhiao calls 32,768 octal-qoonol.Part 1 (LAN) - Aarex Googology
Username5243 calls 32,768 Octal-Gooqnol, and it's equal to 8[1]5 in Username5243's Array Notation.Part 1 - My Large Numbers
According to the , the numbers 32,761 and 32,768 are the fourth largest s not separated by a .
== Approximations ==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(3.2768\times10^4\) 	\(3.2768\times10^4\)
Arrow notation 	\(2\uparrow15\), \(8\uparrow5\), \(32\uparrow3\) 	\(2\uparrow15\), \(8\uparrow5\), \(32\uparrow3\)
Steinhaus-Moser Notation 	5[3] 	6[3]
Copy notation 	2[5] 	3[5]
Chained arrow notation 	\(2\rightarrow15\), \(8\rightarrow5\), \(32\rightarrow3\)	\(2\rightarrow15\), \(8\rightarrow5\), \(32\rightarrow3\)
Taro's multivariable Ackermann function	A(3,12) 	A(3,13)
Pound-Star Notation 	#*(128)*2 	#*(128)*2
PlantStar's Debut Notation 	[2] 	[3]
BEAF 	{2,15}, {8,5}, {32,3} 	{2,15}, {8,5}, {32,3}
Bashicu matrix system 	(0)[181] 	(0)[182]
Hyperfactorial array notation 	7! 	8!
Bird's array notation 	{2,15}, {8,5}, {32,3} 	{2,15}, {8,5}, {32,3}
Strong array notation 	s(2,15), s(8,5), s(32,3) 	s(2,15), s(8,5), s(32,3)
Fast-growing hierarchy 	\(f_2(11)\) 	\(f_2(12)\)
Hardy hierarchy 	\(H_{\omega^2}(11)\) 	\(H_{\omega^2}(12)\)
Slow-growing hierarchy 	\(g_{\omega^5}(8)\) 	\(g_{\omega^5}(8)\)
== Sources ==
== See also ==
*32,767
*65,536
*2,147,483,647
Category:Numbers
Category:Class 1
Category:Computers
Category:Numbers with 4 to 6 digits
Category:Powers of 2
Category:Googol Regiment