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56009329320064 = 2717140291834741
BaseRepresentation
bin11001011110000101100000…
…01011011010000010000000
321100022102212110110101020211
430233002300023122002000
524320124101301220224
6315042155232043504
714540353252020211
oct1457026013320200
9240272773411224
1056009329320064
111693447227180a
126346b97093594
1325338708284b3
14db8c1a455408
15671de7b75894
hex32f0b02da080

56009329320064 has 64 divisors (see below), whose sum is σ = 118153164893400. Its totient is φ = 26355438305280.

The previous prime is 56009329320017. The next prime is 56009329320071. The reversal of 56009329320064 is 46002392390065.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42063526209600 + 13945803110464 = 6485640^2 + 3734408^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29609734 + ... + 31444474.

Almost surely, 256009329320064 is an apocalyptic number.

It is an amenable number.

56009329320064 is an abundant number, since it is smaller than the sum of its proper divisors (62143835573336).

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

56009329320064 is a wasteful number, since it uses less digits than its factorization.

56009329320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848801 (or 1848789 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

The spelling of 56009329320064 in words is "fifty-six trillion, nine billion, three hundred twenty-nine million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 14029 28058 56116 112232 224464 238493 448928 476986 897856 953972 1795712 1834741 1907944 3669482 3815888 7338964 7631776 14677928 15263552 29355856 30527104 31190597 58711712 62381194 117423424 124762388 234846848 249524776 499049552 998099104 1996198208 3992396416 25739581489 51479162978 102958325956 205916651912 411833303824 437572885313 823666607648 875145770626 1647333215296 1750291541252 3294666430592 3500583082504 7001166165008 14002332330016 28004664660032 56009329320064