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5713590960 = 243557112347
BaseRepresentation
bin1010101001000111…
…00111101010110000
3112202012010111100000
411110203213222300
543200134402320
62342542030000
7261405502410
oct52443475260
915665114300
105713590960
11247219a500
121135578300
1370094916c
143c2b76640
15236910c90
hex1548e7ab0

5713590960 has 720 divisors, whose sum is σ = 25068895488. Its totient is φ = 1183818240.

The previous prime is 5713590941. The next prime is 5713590989. The reversal of 5713590960 is 690953175.

5713590960 is a `hidden beast` number, since 57 + 1 + 3 + 590 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16465507 + ... + 16465853.

Almost surely, 25713590960 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 5713590960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534447744).

5713590960 is an abundant number, since it is smaller than the sum of its proper divisors (19355304528).

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

5713590960 is a wasteful number, since it uses less digits than its factorization.

5713590960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 5713590960 is about 75588.2990945027. The cubic root of 5713590960 is about 1787.7346122035.

The spelling of 5713590960 in words is "five billion, seven hundred thirteen million, five hundred ninety thousand, nine hundred sixty".