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56410505664 = 2631392113703
BaseRepresentation
bin110100100010010101…
…000000000111000000
312101121100022121012120
4310202111000013000
51411012042140124
641525320524240
74034622246432
oct644225000700
9171540277176
1056410505664
1121a18294917
12ab23920680
13541cbb7b46
142a31c7a652
151702568d79
hexd225401c0

56410505664 has 56 divisors (see below), whose sum is σ = 150326628480. Its totient is φ = 18668216064.

The previous prime is 56410505659. The next prime is 56410505687. The reversal of 56410505664 is 46650501465.

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 7 ways as a sum of consecutive naturals, for example, 1030164 + ... + 1083539.

It is an arithmetic number, because the mean of its divisors is an integer number (2684404080).

Almost surely, 256410505664 is an apocalyptic number.

It is an amenable number.

56410505664 is an abundant number, since it is smaller than the sum of its proper divisors (93916122816).

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

56410505664 is a wasteful number, since it uses less digits than its factorization.

56410505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113857 (or 2113847 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 56410505664 in words is "fifty-six billion, four hundred ten million, five hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 26688 2113703 4227406 6341109 8454812 12682218 16909624 25364436 33819248 50728872 67638496 101457744 135276992 202915488 293804717 405830976 587609434 881414151 1175218868 1762828302 2350437736 3525656604 4700875472 7051313208 9401750944 14102626416 18803501888 28205252832 56410505664