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113677420032 = 293311747563
BaseRepresentation
bin110100111011110110…
…0111100011000000000
3101212102101010021022000
41221313230330120000
53330302404420112
6124120033344000
711133014061441
oct1516754743000
9355371107260
10113677420032
1144234a38220
121a046408000
13a948345ca7
1457057672c8
152e54d9d7dc
hex1a77b3c600

113677420032 has 160 divisors (see below), whose sum is σ = 367083826560. Its totient is φ = 34447656960.

The previous prime is 113677420013. The next prime is 113677420049. The reversal of 113677420032 is 230024776311.

113677420032 is a `hidden beast` number, since 1 + 136 + 77 + 420 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221718 + ... + 525845.

It is an arithmetic number, because the mean of its divisors is an integer number (2294273916).

Almost surely, 2113677420032 is an apocalyptic number.

113677420032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113677420032 is an abundant number, since it is smaller than the sum of its proper divisors (253406406528).

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

113677420032 is an equidigital number, since it uses as much as digits as its factorization.

113677420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747601 (or 747579 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 113677420032 in words is "one hundred thirteen billion, six hundred seventy-seven million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 747563 1495126 2242689 2990252 4485378 5980504 6728067 8223193 8970756 11961008 13456134 16446386 17941512 20184201 23922016 24669579 26912268 32892772 35883024 40368402 47844032 49339158 53824536 65785544 71766048 74008737 80736804 95688064 98678316 107649072 131571088 143532096 148017474 161473608 191376128 197356632 215298144 222026211 263142176 287064192 296034948 322947216 382752256 394713264 430596288 444052422 526284352 574128384 592069896 645894432 789426528 861192576 888104844 1052568704 1148256768 1184139792 1291788864 1578853056 1722385152 1776209688 2105137408 2368279584 2583577728 3157706112 3444770304 3552419376 4210274816 4736559168 5167155456 6315412224 7104838752 9473118336 10334310912 12630824448 14209677504 18946236672 28419355008 37892473344 56838710016 113677420032