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575994000960 = 26325728571131
BaseRepresentation
bin10000110000110111110…
…10101111011001000000
32001001202000022221122200
420120123322233121000
533414113431012320
61120335154233200
756420445140430
oct10303372573100
92031660287580
10575994000960
11202306663174
129376b285800
1342415340751
141dc41d262c0
15eeb2594290
hex861beaf640

575994000960 has 168 divisors, whose sum is σ = 2264205068736. Its totient is φ = 131655767040.

The previous prime is 575994000941. The next prime is 575994000961. The reversal of 575994000960 is 69000499575.

575994000960 is a `hidden beast` number, since 5 + 7 + 599 + 40 + 0 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-4 number, since 4×5759940009604 (a number of 48 digits) contains 4444 as substring.

It is a cake number, because a cake can be divided into 575994000960 parts by 15119 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 575994000897 and 575994000906.

It is not an unprimeable number, because it can be changed into a prime (575994000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14265406 + ... + 14305725.

Almost surely, 2575994000960 is an apocalyptic number.

It is an amenable number.

575994000960 is an abundant number, since it is smaller than the sum of its proper divisors (1688211067776).

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

575994000960 is a wasteful number, since it uses less digits than its factorization.

575994000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28571161 (or 28571148 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 575994000960 in words is "five hundred seventy-five billion, nine hundred ninety-four million, nine hundred sixty", and thus it is an aban number.