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88137265920 = 28351123257353
BaseRepresentation
bin101001000010101100…
…0111111001100000000
322102111102211000100020
41102011120333030000
52421001120002140
6104253435253440
76240060253644
oct1220530771400
9272442730306
1088137265920
1134419209440
12150b8baa280
138407c38972
1443a1774c24
15245ca806d0
hex148563f300

88137265920 has 576 divisors, whose sum is σ = 322587546624. Its totient is φ = 20300431360.

The previous prime is 88137265883. The next prime is 88137265973. The reversal of 88137265920 is 2956273188.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249680464 + ... + 249680816.

It is an arithmetic number, because the mean of its divisors is an integer number (560047824).

Almost surely, 288137265920 is an apocalyptic number.

88137265920 is a gapful number since it is divisible by the number (80) 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 88137265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161293773312).

88137265920 is an abundant number, since it is smaller than the sum of its proper divisors (234450280704).

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

88137265920 is a wasteful number, since it uses less digits than its factorization.

88137265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 88137265920 in words is "eighty-eight billion, one hundred thirty-seven million, two hundred sixty-five thousand, nine hundred twenty".