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96915303932832 = 25337211593527263
BaseRepresentation
bin10110000010010011011010…
…010000111010001110100000
3110201011000100011110020202000
4112002103122100322032200
5100200330020301322312
6542042135340324000
726261620402165500
oct2602233220721640
9421130304406660
1096915303932832
1128975605547680
12aa52a03243600
1342100c65c9588
1419d0a235d7a00
15b30ec968eadc
hex5824da43a3a0

96915303932832 has 576 divisors, whose sum is σ = 364792464691200. Its totient is φ = 24746141468160.

The previous prime is 96915303932791. The next prime is 96915303932897. The reversal of 96915303932832 is 23823930351969.

96915303932832 is a `hidden beast` number, since 9 + 6 + 9 + 1 + 530 + 3 + 93 + 2 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×969153039328322 (a number of 29 digits) contains 22 as substring.

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 96915303932832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25712433 + ... + 29239695.

It is an arithmetic number, because the mean of its divisors is an integer number (633320251200).

Almost surely, 296915303932832 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 96915303932832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182396232345600).

96915303932832 is an abundant number, since it is smaller than the sum of its proper divisors (267877160758368).

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

96915303932832 is a wasteful number, since it uses less digits than its factorization.

96915303932832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527366 (or 3527345 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 96915303932832 in words is "ninety-six trillion, nine hundred fifteen billion, three hundred three million, nine hundred thirty-two thousand, eight hundred thirty-two".