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57315358944 = 25342341131179
BaseRepresentation
bin110101011000010000…
…101111100011100000
312110221101221220120000
4311120100233203200
51414340212441234
642155203020000
74066220340564
oct653020574340
9173841856500
1057315358944
1122342031548
12b13696a600
1355354c059c
142aba0db6a4
151756c03899
hexd5842f8e0

57315358944 has 480 divisors, whose sum is σ = 182571459840. Its totient is φ = 17593804800.

The previous prime is 57315358937. The next prime is 57315358963. The reversal of 57315358944 is 44985351375.

It is a happy number.

57315358944 is a `hidden beast` number, since 5 + 7 + 3 + 1 + 53 + 589 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 320197447 + ... + 320197625.

It is an arithmetic number, because the mean of its divisors is an integer number (380357208).

Almost surely, 257315358944 is an apocalyptic number.

57315358944 is a gapful number since it is divisible by the number (54) 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 57315358944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91285729920).

57315358944 is an abundant number, since it is smaller than the sum of its proper divisors (125256100896).

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

57315358944 is a wasteful number, since it uses less digits than its factorization.

57315358944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 57315358944 in words is "fifty-seven billion, three hundred fifteen million, three hundred fifty-eight thousand, nine hundred forty-four".