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565740968832 = 27331331616659
BaseRepresentation
bin10000011101110001100…
…10100001101110000000
32000002021110102221201000
420032320302201232000
533232114142000312
61111521532212000
755605405614454
oct10167062415600
92002243387630
10565740968832
111a8a250343a6
129178960a000
13414700bb730
141d54c338664
15eab23a3adc
hex83b8ca1b80

565740968832 has 512 divisors, whose sum is σ = 1886879232000. Its totient is φ = 165672345600.

The previous prime is 565740968713. The next prime is 565740968869. The reversal of 565740968832 is 238869047565.

It is a happy number.

565740968832 is a `hidden beast` number, since 56 + 574 + 0 + 9 + 6 + 8 + 8 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 565740968832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84955519 + ... + 84962177.

It is an arithmetic number, because the mean of its divisors is an integer number (3685311000).

Almost surely, 2565740968832 is an apocalyptic number.

565740968832 is a gapful number since it is divisible by the number (52) 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 565740968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943439616000).

565740968832 is an abundant number, since it is smaller than the sum of its proper divisors (1321138263168).

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

565740968832 is a wasteful number, since it uses less digits than its factorization.

565740968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 565740968832 in words is "five hundred sixty-five billion, seven hundred forty million, nine hundred sixty-eight thousand, eight hundred thirty-two".