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96931556568 = 2332721119472797
BaseRepresentation
bin101101001000110010…
…0100010110011011000
3100021012022211021011200
41122101210202303120
53042003434302233
6112310231354200
710001024431200
oct1322144426330
9307168737150
1096931556568
1138121378140
1216952222960
1391a9bb3042
14499771d400
1527c4b76313
hex1691922cd8

96931556568 has 576 divisors, whose sum is σ = 358269350400. Its totient is φ = 23336087040.

The previous prime is 96931556467. The next prime is 96931556597. The reversal of 96931556568 is 86565513969.

96931556568 is a `hidden beast` number, since 9 + 6 + 9 + 3 + 1 + 5 + 565 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34654146 + ... + 34656942.

It is an arithmetic number, because the mean of its divisors is an integer number (621995400).

Almost surely, 296931556568 is an apocalyptic number.

96931556568 is a gapful number since it is divisible by the number (98) 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 96931556568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179134675200).

96931556568 is an abundant number, since it is smaller than the sum of its proper divisors (261337793832).

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

96931556568 is a wasteful number, since it uses less digits than its factorization.

96931556568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2886 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 96931556568 in words is "ninety-six billion, nine hundred thirty-one million, five hundred fifty-six thousand, five hundred sixty-eight".