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57075996978 = 23571113235101
BaseRepresentation
bin110101001001111111…
…101001100100110010
312110022201120001200000
4311021333221210302
51413342423400403
642115332410430
74060252653360
oct651177514462
9173281501600
1057075996978
1122229a04340
12b08a776a16
1354c7a33ca0
142a963d0630
151740bc17a3
hexd49fe9932

57075996978 has 384 divisors, whose sum is σ = 179710562304. Its totient is φ = 13087008000.

The previous prime is 57075996977. The next prime is 57075997007. The reversal of 57075996978 is 87969957075.

It is not an unprimeable number, because it can be changed into a prime (57075996977) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11186628 + ... + 11191728.

It is an arithmetic number, because the mean of its divisors is an integer number (467996256).

Almost surely, 257075996978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57075996978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89855281152).

57075996978 is an abundant number, since it is smaller than the sum of its proper divisors (122634565326).

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

57075996978 is a wasteful number, since it uses less digits than its factorization.

57075996978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 57075996978 in words is "fifty-seven billion, seventy-five million, nine hundred ninety-six thousand, nine hundred seventy-eight".