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90115696320 = 26351337195157
BaseRepresentation
bin101001111101101010…
…0000110011011000000
322121121022120200122020
41103323110012123000
52434024104240240
6105222032041440
76340102531416
oct1237324063300
9277538520566
1090115696320
1135243a63491
121556b693280
138661aa0340
14450c4172b6
1525265d20d0
hex14fb5066c0

90115696320 has 224 divisors, whose sum is σ = 316455722688. Its totient is φ = 21582692352.

The previous prime is 90115696301. The next prime is 90115696337. The reversal of 90115696320 is 2369651109.

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 31 ways as a sum of consecutive naturals, for example, 364182 + ... + 559338.

It is an arithmetic number, because the mean of its divisors is an integer number (1412748762).

Almost surely, 290115696320 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 90115696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158227861344).

90115696320 is an abundant number, since it is smaller than the sum of its proper divisors (226340026368).

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

90115696320 is a wasteful number, since it uses less digits than its factorization.

90115696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195227 (or 195217 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 90115696320 in words is "ninety billion, one hundred fifteen million, six hundred ninety-six thousand, three hundred twenty".