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96370117632 = 2103331229491
BaseRepresentation
bin101100111000000011…
…0110100110000000000
3100012202012101012202000
41121300012310300000
53034331222231012
6112134414024000
76651066325035
oct1316006646000
9305665335660
1096370117632
1137963467818
12168161a8000
13911a799059
144942d3338c
152790723ddc
hex16701b4c00

96370117632 has 352 divisors, whose sum is σ = 296497305600. Its totient is φ = 30888345600.

The previous prime is 96370117631. The next prime is 96370117639. The reversal of 96370117632 is 23671107369.

96370117632 is a `hidden beast` number, since 9 + 6 + 3 + 7 + 0 + 1 + 1 + 7 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (96370117631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196272907 + ... + 196273397.

Almost surely, 296370117632 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 96370117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148248652800).

96370117632 is an abundant number, since it is smaller than the sum of its proper divisors (200127187968).

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

96370117632 is a wasteful number, since it uses less digits than its factorization.

96370117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 96370117632 in words is "ninety-six billion, three hundred seventy million, one hundred seventeen thousand, six hundred thirty-two".