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231977657534112 = 2535759612295171
BaseRepresentation
bin110100101111101110000001…
…110111111000011010100000
31010102100211212210212210200000
4310233232001313320122200
5220401210220312042422
62141213021545100000
766601555415465430
oct6457560167703240
91112324783783600
10231977657534112
1167a0819903a946
12220269a8187600
139c59526194679
14413dac84142c0
151bc441061acac
hexd2fb81df86a0

231977657534112 has 1152 divisors, whose sum is σ = 811822740019200. Its totient is φ = 63795622809600.

The previous prime is 231977657534081. The next prime is 231977657534131. The reversal of 231977657534112 is 211435756779132.

231977657534112 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 7 + 7 + 6 + 575 + 3 + 41 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 231977657534112.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44861273287 + ... + 44861278457.

It is an arithmetic number, because the mean of its divisors is an integer number (704707239600).

Almost surely, 2231977657534112 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 231977657534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405911370009600).

231977657534112 is an abundant number, since it is smaller than the sum of its proper divisors (579845082485088).

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

231977657534112 is a wasteful number, since it uses less digits than its factorization.

231977657534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5532 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 231977657534112 in words is "two hundred thirty-one trillion, nine hundred seventy-seven billion, six hundred fifty-seven million, five hundred thirty-four thousand, one hundred twelve".