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112598974152 = 2335725472161
BaseRepresentation
bin110100011011101101…
…0111111111011001000
3101202122012211112200000
41220313122333323020
53321100314133102
6123421030443000
711064210326400
oct1506732777310
9352565745600
10112598974152
1143831204935
12199a5203460
13a805aa0c32
145642439800
152de037401c
hex1a376bfec8

112598974152 has 288 divisors, whose sum is σ = 368725986720. Its totient is φ = 32097461760.

The previous prime is 112598974123. The next prime is 112598974171. The reversal of 112598974152 is 251479895211.

112598974152 is a `hidden beast` number, since 1 + 1 + 2 + 598 + 9 + 7 + 41 + 5 + 2 = 666.

112598974152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52103952 + ... + 52106112.

It is an arithmetic number, because the mean of its divisors is an integer number (1280298565).

Almost surely, 2112598974152 is an apocalyptic number.

112598974152 is a gapful number since it is divisible by the number (12) 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 112598974152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184362993360).

112598974152 is an abundant number, since it is smaller than the sum of its proper divisors (256127012568).

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

112598974152 is a wasteful number, since it uses less digits than its factorization.

112598974152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2720 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 112598974152 in words is "one hundred twelve billion, five hundred ninety-eight million, nine hundred seventy-four thousand, one hundred fifty-two".