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231087635064 = 2332111324340151
BaseRepresentation
bin1101011100110111100…
…1010111101001111000
3211002110220011011200200
43113031321113221320
512241231413310224
6254054334002200
722460365326366
oct3271571275170
9732426134620
10231087635064
118a004a44590
1238952946360
1318a39b25b00
14b282b6a636
1560277e05c9
hex35cde57a78

231087635064 has 288 divisors, whose sum is σ = 756531135360. Its totient is φ = 63135072000.

The previous prime is 231087634991. The next prime is 231087635101. The reversal of 231087635064 is 460536780132.

231087635064 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 8 + 7 + 635 + 0 + 6 + 4 = 666.

It is a congruent number.

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, 5735389 + ... + 5775539.

It is an arithmetic number, because the mean of its divisors is an integer number (2626844220).

Almost surely, 2231087635064 is an apocalyptic number.

231087635064 is a gapful number since it is divisible by the number (24) 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 231087635064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378265567680).

231087635064 is an abundant number, since it is smaller than the sum of its proper divisors (525443500296).

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

231087635064 is a wasteful number, since it uses less digits than its factorization.

231087635064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40243 (or 40223 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 231087635064 in words is "two hundred thirty-one billion, eighty-seven million, six hundred thirty-five thousand, sixty-four".