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57663277056 = 2113371129467
BaseRepresentation
bin110101101100111111…
…111100100000000000
312111211122121222111000
4311230333330200000
51421043244331211
642253512052000
74110643524240
oct655477744000
9174748558430
1057663277056
1122500464580
12b213394000
13558c5c7ca8
142b103c5b20
15177752a656
hexd6cffc800

57663277056 has 768 divisors, whose sum is σ = 220776192000. Its totient is φ = 14430044160.

The previous prime is 57663277033. The next prime is 57663277079. The reversal of 57663277056 is 65077236675.

57663277056 is a `hidden beast` number, since 576 + 63 + 2 + 7 + 7 + 0 + 5 + 6 = 666.

57663277056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57663277033) and next prime (57663277079).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57663276993 and 57663277011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123475735 + ... + 123476201.

It is an arithmetic number, because the mean of its divisors is an integer number (287469000).

Almost surely, 257663277056 is an apocalyptic number.

57663277056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57663277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110388096000).

57663277056 is an abundant number, since it is smaller than the sum of its proper divisors (163112914944).

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

57663277056 is a wasteful number, since it uses less digits than its factorization.

57663277056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 57663277056 in words is "fifty-seven billion, six hundred sixty-three million, two hundred seventy-seven thousand, fifty-six".