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57083927040 = 29355713109
BaseRepresentation
bin110101001010011101…
…111001101000000000
312110100021110221200000
4311022131321220000
51413401441131130
642120214400000
74060410242160
oct651235715000
9173307427600
1057083927040
1122233430308
12b091360000
1354c957c62a
142a974965a0
15174173b260
hexd4a779a00

57083927040 has 480 divisors, whose sum is σ = 234326252160. Its totient is φ = 13046759424.

The previous prime is 57083927039. The next prime is 57083927051. The reversal of 57083927040 is 4072938075.

57083927040 is a `hidden beast` number, since 570 + 8 + 3 + 9 + 2 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4348006 + ... + 4361114.

It is an arithmetic number, because the mean of its divisors is an integer number (488179692).

Almost surely, 257083927040 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 57083927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117163126080).

57083927040 is an abundant number, since it is smaller than the sum of its proper divisors (177242325120).

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

57083927040 is an equidigital number, since it uses as much as digits as its factorization.

57083927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13154 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57083927040 in words is "fifty-seven billion, eighty-three million, nine hundred twenty-seven thousand, forty".