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5679686304 = 253443131389
BaseRepresentation
bin1010100101000100…
…10010001010100000
3112122211022221220000
411102202102022200
543112444430204
62335331220000
7260514352125
oct52242221240
915584287800
105679686304
112455042426
121126147600
136c6907b36
143bc46c74c
15233965039
hex1528922a0

5679686304 has 240 divisors, whose sum is σ = 17267009760. Its totient is φ = 1830366720.

The previous prime is 5679686273. The next prime is 5679686317. The reversal of 5679686304 is 4036869765.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14600542 + ... + 14600930.

It is an arithmetic number, because the mean of its divisors is an integer number (71945874).

Almost surely, 25679686304 is an apocalyptic number.

5679686304 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 5679686304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633504880).

5679686304 is an abundant number, since it is smaller than the sum of its proper divisors (11587323456).

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

5679686304 is a wasteful number, since it uses less digits than its factorization.

5679686304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 5679686304 is about 75363.6935400595. The cubic root of 5679686304 is about 1784.1914338065.

The spelling of 5679686304 in words is "five billion, six hundred seventy-nine million, six hundred eighty-six thousand, three hundred four".