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5757474816 = 2113523503
BaseRepresentation
bin1010101110010110…
…00001100000000000
3112212020201000200000
411113023001200000
543242403143231
62351150400000
7262450504602
oct52713014000
915766630600
105757474816
112494a43055
121148200000
13709a72742
143c891b172
1523a6cd6e6
hex1572c1800

5757474816 has 288 divisors, whose sum is σ = 18030055680. Its totient is φ = 1832067072.

The previous prime is 5757474797. The next prime is 5757474823. The reversal of 5757474816 is 6184747575.

5757474816 is a `hidden beast` number, since 57 + 574 + 7 + 4 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11446021 + ... + 11446523.

It is an arithmetic number, because the mean of its divisors is an integer number (62604360).

Almost surely, 25757474816 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 5757474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015027840).

5757474816 is an abundant number, since it is smaller than the sum of its proper divisors (12272580864).

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

5757474816 is an equidigital number, since it uses as much as digits as its factorization.

5757474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 531 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The square root of 5757474816 is about 75878.0259100090. The cubic root of 5757474816 is about 1792.2999072880.

The spelling of 5757474816 in words is "five billion, seven hundred fifty-seven million, four hundred seventy-four thousand, eight hundred sixteen".