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57428642880 = 2632572834903
BaseRepresentation
bin110101011111000000…
…111000110001000000
312111020022010022220100
4311133000320301000
51420103213033010
642214331042400
74102064260500
oct653700706100
9174208108810
1057428642880
112239aa76434
12b1688a0400
135552b055bb
142acb189a00
151761b2e2c0
hexd5f038c40

57428642880 has 504 divisors, whose sum is σ = 232596366912. Its totient is φ = 12965750784.

The previous prime is 57428642867. The next prime is 57428642903. The reversal of 57428642880 is 8824682475.

57428642880 is a `hidden beast` number, since 574 + 2 + 8 + 64 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11710509 + ... + 11715411.

It is an arithmetic number, because the mean of its divisors is an integer number (461500728).

Almost surely, 257428642880 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 57428642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116298183456).

57428642880 is an abundant number, since it is smaller than the sum of its proper divisors (175167724032).

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

57428642880 is a wasteful number, since it uses less digits than its factorization.

57428642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 57428642880 in words is "fifty-seven billion, four hundred twenty-eight million, six hundred forty-two thousand, eight hundred eighty".