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90196240640 = 285111923107137
BaseRepresentation
bin101010000000000011…
…1010110100100000000
322121210221010202200012
41110000013112210000
52434210214200030
6105234030244052
76342101252462
oct1240007264400
9277727122605
1090196240640
1135285476640
1215592656628
1386756913bc
144518dc2132
15252d6e2095
hex15001d6900

90196240640 has 576 divisors, whose sum is σ = 263207024640. Its totient is φ = 29228728320.

The previous prime is 90196240627. The next prime is 90196240721. The reversal of 90196240640 is 4604269109.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658366652 + ... + 658366788.

It is an arithmetic number, because the mean of its divisors is an integer number (456956640).

Almost surely, 290196240640 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 90196240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131603512320).

90196240640 is an abundant number, since it is smaller than the sum of its proper divisors (173010784000).

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

90196240640 is a wasteful number, since it uses less digits than its factorization.

90196240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 90196240640 in words is "ninety billion, one hundred ninety-six million, two hundred forty thousand, six hundred forty".