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56953709514 = 2321310110632267
BaseRepresentation
bin110101000010101101…
…001010001111001010
312110000012110012210200
4311002231022033022
51413120122201024
642055243353030
74054236354222
oct650255121712
9173005405720
1056953709514
112217697aa19
12b055822776
1354a85b8b40
142a8407b082
1517350b82c9
hexd42b4a3ca

56953709514 has 96 divisors (see below), whose sum is σ = 134393261184. Its totient is φ = 17326742400.

The previous prime is 56953709507. The next prime is 56953709557. The reversal of 56953709514 is 41590735965.

56953709514 is a `hidden beast` number, since 5 + 6 + 9 + 53 + 70 + 9 + 514 = 666.

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 47 ways as a sum of consecutive naturals, for example, 25121809 + ... + 25124075.

It is an arithmetic number, because the mean of its divisors is an integer number (1399929804).

Almost surely, 256953709514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56953709514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67196630592).

56953709514 is an abundant number, since it is smaller than the sum of its proper divisors (77439551670).

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

56953709514 is a wasteful number, since it uses less digits than its factorization.

56953709514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 56953709514 in words is "fifty-six billion, nine hundred fifty-three million, seven hundred nine thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1063 1313 1818 2126 2267 2626 3189 3939 4534 6378 6801 7878 9567 11817 13602 13819 19134 20403 23634 27638 29471 40806 41457 58942 82914 88413 107363 124371 176826 214726 228967 248742 265239 322089 457934 530478 644178 686901 966267 1373802 1395719 1932534 2060703 2409821 2791438 2976571 4121406 4187157 4819642 5953142 7229463 8374314 8929713 12561471 14458926 17859426 21688389 25122942 26789139 31327673 43376778 53578278 62655346 93983019 187966038 243391921 281949057 486783842 563898114 730175763 1460351526 2190527289 3164094973 4381054578 6328189946 9492284919 18984569838 28476854757 56953709514