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113777038223424 = 26324444432
BaseRepresentation
bin11001110111101011000111…
…111100100110100001000000
3112220211222102102022200122100
4121313223013330212201000
5104403110333241122144
61041552241053110400
732652056033634642
oct3167530774464100
9486758372280570
10113777038223424
1133286630a09004
1210916903a88400
134b641898b2884
142014ba37c0892
15d24906489269
hex677ac7f26840

113777038223424 has 63 divisors (see below), whose sum is σ = 326122070768143. Its totient is φ = 37925594074752.

The previous prime is 113777038223417. The next prime is 113777038223441. The reversal of 113777038223424 is 424322830777311.

The square root of 113777038223424 is 10666632.

It is a perfect power (a square), and thus also a powerful number.

113777038223424 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 7 + 7 + 0 + 382 + 234 + 24 = 666.

113777038223424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1137770382234242 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 255776947 + ... + 256221389.

Almost surely, 2113777038223424 is an apocalyptic number.

113777038223424 is the 10666632-nd square number.

It is an amenable number.

113777038223424 is an abundant number, since it is smaller than the sum of its proper divisors (212345032544719).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113777038223424 is an frugal number, since it uses more digits than its factorization.

113777038223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888904 (or 444448 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 113777038223424 in words is "one hundred thirteen trillion, seven hundred seventy-seven billion, thirty-eight million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 444443 888886 1333329 1777772 2666658 3555544 3999987 5333316 7111088 7999974 10666632 14222176 15999948 21333264 28444352 31999896 42666528 63999792 85333056 127999584 255999168 197529580249 395059160498 592588740747 790118320996 1185177481494 1580236641992 1777766222241 2370354962988 3160473283984 3555532444482 4740709925976 6320946567968 7111064888964 9481419851952 12641893135936 14222129777928 18962839703904 28444259555856 37925679407808 56888519111712 113777038223424