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112557888160 = 2556710798129
BaseRepresentation
bin110100011010011111…
…0010001001010100000
3101202112100112011021121
41220310332101022200
53321004304410120
6123413002102024
711063201156224
oct1506476211240
9352470464247
10112557888160
114380aaa2373
12199934aa914
13a7ca416cb3
14563abc2784
152ddb95a5aa
hex1a34f912a0

112557888160 has 96 divisors (see below), whose sum is σ = 272412020160. Its totient is φ = 43936223232.

The previous prime is 112557888109. The next prime is 112557888187. The reversal of 112557888160 is 61888755211.

It is a junction number, because it is equal to n+sod(n) for n = 112557888098 and 112557888107.

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, 1097976 + ... + 1196104.

It is an arithmetic number, because the mean of its divisors is an integer number (2837625210).

Almost surely, 2112557888160 is an apocalyptic number.

112557888160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112557888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136206010080).

112557888160 is an abundant number, since it is smaller than the sum of its proper divisors (159854132000).

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

112557888160 is a wasteful number, since it uses less digits than its factorization.

112557888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98318 (or 98310 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 52.

The spelling of 112557888160 in words is "one hundred twelve billion, five hundred fifty-seven million, eight hundred eighty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 107 134 160 214 268 335 428 535 536 670 856 1070 1072 1340 1712 2140 2144 2680 3424 4280 5360 7169 8560 10720 14338 17120 28676 35845 57352 71690 98129 114704 143380 196258 229408 286760 392516 490645 573520 785032 981290 1147040 1570064 1962580 3140128 3925160 6574643 7850320 10499803 13149286 15700640 20999606 26298572 32873215 41999212 52499015 52597144 65746430 83998424 104998030 105194288 131492860 167996848 209996060 210388576 262985720 335993696 419992120 525971440 703486801 839984240 1051942880 1406973602 1679968480 2813947204 3517434005 5627894408 7034868010 11255788816 14069736020 22511577632 28139472040 56278944080 112557888160