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232561115136 = 216327233179
BaseRepresentation
bin1101100010010110111…
…0010000000000000000
3211020021120202201100200
43120211232100000000
512302241121141021
6254500451445200
722542036601560
oct3304556200000
9736246681320
10232561115136
118a6a0760a09
12390a42b6800
1318c131910cc
14b382728da0
1560b1d4c126
hex3625b90000

232561115136 has 816 divisors, whose sum is σ = 837512232960. Its totient is φ = 60728279040.

The previous prime is 232561115089. The next prime is 232561115177. The reversal of 232561115136 is 631511165232.

232561115136 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 611 + 1 + 5 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232561115136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2943811545 + ... + 2943811623.

Almost surely, 2232561115136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232561115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418756116480).

232561115136 is an abundant number, since it is smaller than the sum of its proper divisors (604951117824).

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

232561115136 is an equidigital number, since it uses as much as digits as its factorization.

232561115136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 232561115136 in words is "two hundred thirty-two billion, five hundred sixty-one million, one hundred fifteen thousand, one hundred thirty-six".