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231669855046656 = 210331329101337653
BaseRepresentation
bin110100101011001111010111…
…011010100100110000000000
31010101021102101112012100022000
4310223033113122210300000
5220331134330342443111
62140415355005344000
766540410655510165
oct6453172732446000
91111242345170260
10231669855046656
11678a96a760a304
1221b97205868000
139c364b1a189a0
14412cc48d4006c
151bbb3e7e78c56
hexd2b3d76a4c00

231669855046656 has 1408 divisors, whose sum is σ = 775392765638400. Its totient is φ = 67837309747200.

The previous prime is 231669855046607. The next prime is 231669855046681. The reversal of 231669855046656 is 656640558966132.

231669855046656 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 6 + 9 + 8 + 5 + 504 + 66 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354777725626 + ... + 354777726278.

Almost surely, 2231669855046656 is an apocalyptic number.

231669855046656 is a gapful number since it is divisible by the number (26) 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 231669855046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387696382819200).

231669855046656 is an abundant number, since it is smaller than the sum of its proper divisors (543722910591744).

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

231669855046656 is a wasteful number, since it uses less digits than its factorization.

231669855046656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 1679616000, while the sum is 72.

The spelling of 231669855046656 in words is "two hundred thirty-one trillion, six hundred sixty-nine billion, eight hundred fifty-five million, forty-six thousand, six hundred fifty-six".