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564205045632 = 2731786428469
BaseRepresentation
bin10000011010111010011…
…11011100011110000000
31222221022102022222011120
420031131033130132000
533220442442430012
61111105304112240
755522345521324
oct10153517343600
91887272288146
10564205045632
111a8307048588
129141b165680
1341286b2c437
141d444363984
15ea2261058c
hex835d3dc780

564205045632 has 64 divisors (see below), whose sum is σ = 1586826709200. Its totient is φ = 177005502464.

The previous prime is 564205045601. The next prime is 564205045637. The reversal of 564205045632 is 236540502465.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564205045637) 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 7 ways as a sum of consecutive naturals, for example, 43207707 + ... + 43220762.

Almost surely, 2564205045632 is an apocalyptic number.

It is an amenable number.

564205045632 is an abundant number, since it is smaller than the sum of its proper divisors (1022621663568).

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

564205045632 is a wasteful number, since it uses less digits than its factorization.

564205045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86428503 (or 86428491 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 564205045632 in words is "five hundred sixty-four billion, two hundred five million, forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 86428469 172856938 259285407 345713876 518570814 691427752 1037141628 1382855504 1469283973 2074283256 2765711008 2938567946 4148566512 4407851919 5531422016 5877135892 8297133024 8815703838 11062844032 11754271784 16594266048 17631407676 23508543568 33188532096 35262815352 47017087136 70525630704 94034174272 141051261408 188068348544 282102522816 564205045632