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375628008096 = 25351143731399
BaseRepresentation
bin1010111011101010010…
…11001000101010100000
31022220120011100220100000
411131311023020222200
522123241232224341
6444321111500000
736065261250015
oct5356513105240
91286504326300
10375628008096
11135337244130
1260971087600
1329563258b63
14142753b370c
159b86e278b6
hex57752c8aa0

375628008096 has 576 divisors, whose sum is σ = 1254398745600. Its totient is φ = 109578147840.

The previous prime is 375628008073. The next prime is 375628008103. The reversal of 375628008096 is 690800826573.

It is a happy number.

375628008096 is a `hidden beast` number, since 3 + 7 + 5 + 628 + 0 + 0 + 8 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268496805 + ... + 268498203.

It is an arithmetic number, because the mean of its divisors is an integer number (2177775600).

Almost surely, 2375628008096 is an apocalyptic number.

375628008096 is a gapful number since it is divisible by the number (36) 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 375628008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627199372800).

375628008096 is an abundant number, since it is smaller than the sum of its proper divisors (878770737504).

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

375628008096 is a wasteful number, since it uses less digits than its factorization.

375628008096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 375628008096 in words is "three hundred seventy-five billion, six hundred twenty-eight million, eight thousand, ninety-six".