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56353102146 = 232114120893323
BaseRepresentation
bin110100011110111010…
…000001100101000010
312101110100022012101100
4310132322001211002
51410402343232041
641515510315230
74033324315305
oct643672014502
9171410265340
1056353102146
11219989477a0
12ab08658b16
135411039973
142a283b6b3c
1516ec4ca6b6
hexd1ee81942

56353102146 has 96 divisors (see below), whose sum is σ = 136553376960. Its totient is φ = 16647206400.

The previous prime is 56353102121. The next prime is 56353102163. The reversal of 56353102146 is 64120135365.

56353102146 is a `hidden beast` number, since 5 + 63 + 531 + 0 + 21 + 46 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56353102146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16956841 + ... + 16960163.

It is an arithmetic number, because the mean of its divisors is an integer number (1422431010).

Almost surely, 256353102146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56353102146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68276688480).

56353102146 is an abundant number, since it is smaller than the sum of its proper divisors (80200274814).

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

56353102146 is a wasteful number, since it uses less digits than its factorization.

56353102146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56353102146 in words is "fifty-six billion, three hundred fifty-three million, one hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2089 2706 3323 4059 4178 6267 6646 8118 9969 12534 18801 19938 22979 29907 36553 37602 45958 59814 68937 73106 85649 109659 136243 137874 171298 206811 219318 256947 272486 328977 408729 413622 513894 657954 770841 817458 942139 1226187 1498673 1541682 1884278 2452374 2826417 2997346 4496019 5652834 6941747 8479251 8992038 13488057 13883494 16958502 20825241 26976114 41650482 62475723 76359217 124951446 152718434 229077651 284611627 458155302 569223254 687232953 853834881 1374465906 1707669762 2561504643 3130727897 5123009286 6261455794 9392183691 18784367382 28176551073 56353102146