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12077465088 = 2931331109179
BaseRepresentation
bin10110011111101111…
…10111111000000000
31011011200212210110210
423033313313320000
5144213312340323
65314233554120
7605201521323
oct131767677000
934150783423
1012077465088
115138461307
122410875940
1311a6218160
148280247ba
154aa473293
hex2cfdf7e00

12077465088 has 320 divisors, whose sum is σ = 36297676800. Its totient is φ = 3543367680.

The previous prime is 12077465063. The next prime is 12077465093. The reversal of 12077465088 is 88056477021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67471783 + ... + 67471961.

It is an arithmetic number, because the mean of its divisors is an integer number (113430240).

Almost surely, 212077465088 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 12077465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148838400).

12077465088 is an abundant number, since it is smaller than the sum of its proper divisors (24220211712).

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

12077465088 is a wasteful number, since it uses less digits than its factorization.

12077465088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 12077465088 in words is "twelve billion, seventy-seven million, four hundred sixty-five thousand, eighty-eight".