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56060010048 = 2637131318407
BaseRepresentation
bin110100001101011011…
…111101111001000000
312100200220210120121110
4310031123331321000
51404302330310143
641430440323320
74023135136350
oct641533757100
9170626716543
1056060010048
1121858461319
12aa46473540
1353953ba1a3
1429db4c0b60
1516d18d3533
hexd0d6fde40

56060010048 has 112 divisors (see below), whose sum is σ = 170809334784. Its totient is φ = 15894827520.

The previous prime is 56060010029. The next prime is 56060010053. The reversal of 56060010048 is 84001006065.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 56060009997 and 56060010024.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16861 + ... + 335267.

Almost surely, 256060010048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56060010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85404667392).

56060010048 is an abundant number, since it is smaller than the sum of its proper divisors (114749324736).

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

56060010048 is a wasteful number, since it uses less digits than its factorization.

56060010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318560 (or 318550 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 56060010048 in words is "fifty-six billion, sixty million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 336 393 448 524 672 786 917 1048 1344 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 8384 11004 12576 14672 22008 25152 29344 44016 58688 88032 176064 318407 636814 955221 1273628 1910442 2228849 2547256 3820884 4457698 5094512 6686547 7641768 8915396 10189024 13373094 15283536 17830792 20378048 26746188 30567072 35661584 41711317 53492376 61134144 71323168 83422634 106984752 125133951 142646336 166845268 213969504 250267902 291979219 333690536 427939008 500535804 583958438 667381072 875937657 1001071608 1167916876 1334762144 1751875314 2002143216 2335833752 2669524288 3503750628 4004286432 4671667504 7007501256 8008572864 9343335008 14015002512 18686670016 28030005024 56060010048