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57688031808 = 26321123503787
BaseRepresentation
bin110101101110011110…
…011000001001000000
312111220101012122121200
4311232132120021000
51421121114004213
642300154421200
74111364115441
oct655636301100
9174811178550
1057688031808
1122513432150
12b21b731800
135594784684
142b137cb2c8
1517797ba273
hexd6e798240

57688031808 has 336 divisors, whose sum is σ = 188841010176. Its totient is φ = 16666721280.

The previous prime is 57688031783. The next prime is 57688031903. The reversal of 57688031808 is 80813088675.

It is a happy number.

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, 73300791 + ... + 73301577.

It is an arithmetic number, because the mean of its divisors is an integer number (562026816).

Almost surely, 257688031808 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 57688031808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94420505088).

57688031808 is an abundant number, since it is smaller than the sum of its proper divisors (131152978368).

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

57688031808 is a wasteful number, since it uses less digits than its factorization.

57688031808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 57688031808 in words is "fifty-seven billion, six hundred eighty-eight million, thirty-one thousand, eight hundred eight".