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96163295760 = 243257213120807
BaseRepresentation
bin101100110001111000…
…1110111001000010000
3100012012210012120110200
41121203301313020100
53033420300431020
6112102105055200
76643005345600
oct1314361671020
9305183176420
1096163295760
1137867745454
1216778a87500
1390b699394c
144923696c00
15277c4bd590
hex1663c77210

96163295760 has 360 divisors, whose sum is σ = 378560609856. Its totient is φ = 21811345920.

The previous prime is 96163295749. The next prime is 96163295777. The reversal of 96163295760 is 6759236169.

96163295760 is a `hidden beast` number, since 9 + 6 + 1 + 63 + 2 + 9 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 96163295697 and 96163295706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4611277 + ... + 4632083.

Almost surely, 296163295760 is an apocalyptic number.

96163295760 is a gapful number since it is divisible by the number (90) 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 96163295760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189280304928).

96163295760 is an abundant number, since it is smaller than the sum of its proper divisors (282397314096).

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

96163295760 is a wasteful number, since it uses less digits than its factorization.

96163295760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20971 (or 20955 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 96163295760 in words is "ninety-six billion, one hundred sixty-three million, two hundred ninety-five thousand, seven hundred sixty".