Octoseptuagintaoctingentillion

An octoseptuagintaoctingentillion is equal to \(10^{2637}\) in the short scale and \(10^{5268}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 878th -illion number.
In the long scale, \(10^{2637}\) is called noventrigintaquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2637}\) (exact) 	\(1\times10^{2637}\) (exact)
Arrow notation 	\(10\uparrow 2637\) (exact) 	\(10\uparrow 2637\) (exact)
Steinhaus-Moser Notation 	893[3] 	894[3]
Chained arrow notation 	\(10\rightarrow 2637\) (exact) 	\(10\rightarrow 2637\) (exact)
Taro's multivariable Ackermann function	A(3,8756) 	A(3,8757)
BEAF & Bird's array notation 	{10,2637} (exact) 	{10,2637} (exact)
Hyper-E notation 	E2637 (exact) 	E2637 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(893) 	m(1)(894)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8746)\) 	\(f_2(8747)\)
Hardy hierarchy 	\(H_{\omega^2}(8746)\) 	\(H_{\omega^2}(8747)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5268}\) (exact) 	\(1\times10^{5268}\) (exact)
Arrow notation 	\(10\uparrow 5268\) (exact) 	\(10\uparrow 5268\) (exact)
Steinhaus-Moser Notation 	1638[3] 	1639[3]
Chained arrow notation 	\(10\rightarrow 5268\) (exact) 	\(10\rightarrow 5268\) (exact)
Taro's multivariable Ackermann function	A(3,17496) 	A(3,17497)
BEAF & Bird's array notation 	{10,5268} (exact) 	{10,5268} (exact)
Hyper-E notation 	E5268 (exact) 	E5268 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1638) 	m(1)(1639)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17485)\) 	\(f_2(17486)\)
Hardy hierarchy 	\(H_{\omega^2}(17485)\) 	\(H_{\omega^2}(17486)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 6+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers