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57609413328 = 2431200196111
BaseRepresentation
bin110101101001110010…
…011110001011010000
312111200220021102100010
4311221302132023100
51420441002211303
642244305354520
74106420635155
oct655162361320
9174626242303
1057609413328
11224830149a5
12b1b9338a40
1355813b906c
142b071a422c
15177293ac03
hexd69c9e2d0

57609413328 has 20 divisors (see below), whose sum is σ = 148824317888. Its totient is φ = 19203137760.

The previous prime is 57609413317. The next prime is 57609413341. The reversal of 57609413328 is 82331490675.

57609413328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1200196111 = 57609413328 / (5 + 7 + 6 + 0 + 9 + 4 + 1 + 3 + 3 + 2 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600098008 + ... + 600098103.

It is a 1-persistent number, because it is pandigital, but 2⋅57609413328 = 115218826656 is not.

Almost surely, 257609413328 is an apocalyptic number.

It is an amenable number.

57609413328 is an abundant number, since it is smaller than the sum of its proper divisors (91214904560).

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

57609413328 is a wasteful number, since it uses less digits than its factorization.

57609413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200196122 (or 1200196116 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 57609413328 in words is "fifty-seven billion, six hundred nine million, four hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1200196111 2400392222 3600588333 4800784444 7201176666 9601568888 14402353332 19203137776 28804706664 57609413328