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57987187104 = 253711192329619
BaseRepresentation
bin110110000000010011…
…100100000110100000
312112200020010022112110
4312000103210012200
51422224204441404
642350002355320
74121655646350
oct660023440640
9175606108473
1057987187104
1122657289a30
12b2a395bb40
135611747b42
142b41420b60
151795badb89
hexd804e41a0

57987187104 has 768 divisors, whose sum is σ = 215986176000. Its totient is φ = 13156577280.

The previous prime is 57987187099. The next prime is 57987187121. The reversal of 57987187104 is 40178178975.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93678507 + ... + 93679125.

It is an arithmetic number, because the mean of its divisors is an integer number (281232000).

Almost surely, 257987187104 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 57987187104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088000).

57987187104 is an abundant number, since it is smaller than the sum of its proper divisors (157998988896).

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

57987187104 is a wasteful number, since it uses less digits than its factorization.

57987187104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 57.

The spelling of 57987187104 in words is "fifty-seven billion, nine hundred eighty-seven million, one hundred eighty-seven thousand, one hundred four".