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57063813120 = 21234541839
BaseRepresentation
bin110101001001010001…
…001011000000000000
312110021212122001120000
4311021101023000000
51413331314004440
642114215320000
74060044260046
oct651121130000
9173255561500
1057063813120
1122223042436
12b086680000
1354c53593c2
142a9493c396
15173eab6730
hexd4944b000

57063813120 has 520 divisors, whose sum is σ = 209798376480. Its totient is φ = 14828175360.

The previous prime is 57063813049. The next prime is 57063813133. The reversal of 57063813120 is 2131836075.

57063813120 is a `hidden beast` number, since 5 + 7 + 0 + 638 + 1 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68013661 + ... + 68014499.

Almost surely, 257063813120 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 57063813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104899188240).

57063813120 is an abundant number, since it is smaller than the sum of its proper divisors (152734563360).

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

57063813120 is an equidigital number, since it uses as much as digits as its factorization.

57063813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 57063813120 in words is "fifty-seven billion, sixty-three million, eight hundred thirteen thousand, one hundred twenty".