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90831412920 = 233519431019173
BaseRepresentation
bin101010010010111111…
…0010101111010111000
322200110012022212020110
41110211332111322320
52442010320203140
6105421040224320
76363613161633
oct1244576257270
9280405285213
1090831412920
1135580a67a06
121572b30b0a0
1387471532a1
1445794c2c1a
15256935b380
hex1525f95eb8

90831412920 has 256 divisors, whose sum is σ = 296444966400. Its totient is φ = 22188902400.

The previous prime is 90831412909. The next prime is 90831412921. The reversal of 90831412920 is 2921413809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90831412921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9897454 + ... + 9906626.

It is an arithmetic number, because the mean of its divisors is an integer number (1157988150).

Almost surely, 290831412920 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 90831412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148222483200).

90831412920 is an abundant number, since it is smaller than the sum of its proper divisors (205613553480).

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

90831412920 is a wasteful number, since it uses less digits than its factorization.

90831412920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 90831412920 in words is "ninety billion, eight hundred thirty-one million, four hundred twelve thousand, nine hundred twenty".