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10013884272 = 2432717584377
BaseRepresentation
bin10010101001101111…
…11011111101110000
3221211212220000202200
421110313323331300
5131002023244042
64333400143200
7503103416610
oct112467737560
927755800680
1010013884272
114279638517
121b35767b00
13c3783c012
146add38a40
153d9201c4c
hex254dfbf70

10013884272 has 120 divisors (see below), whose sum is σ = 33912624096. Its totient is φ = 2692804608.

The previous prime is 10013884219. The next prime is 10013884297. The reversal of 10013884272 is 27248831001.

10013884272 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 388 + 4 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275053 + ... + 309324.

Almost surely, 210013884272 is an apocalyptic number.

10013884272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10013884272 is an abundant number, since it is smaller than the sum of its proper divisors (23898739824).

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

10013884272 is a wasteful number, since it uses less digits than its factorization.

10013884272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584415 (or 584406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10013884272 in words is "ten billion, thirteen million, eight hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 584377 1168754 1753131 2337508 3506262 4090639 4675016 5259393 7012524 8181278 9350032 9934409 10518786 12271917 14025048 16362556 19868818 21037572 24543834 28050096 29803227 32725112 36815751 39737636 42075144 49087668 59606454 65450224 69540863 73631502 79475272 84150288 89409681 98175336 119212908 139081726 147263004 158950544 178819362 196350672 208622589 238425816 278163452 294526008 357638724 417245178 476851632 556326904 589052016 625867767 715277448 834490356 1112653808 1251735534 1430554896 1668980712 2503471068 3337961424 5006942136 10013884272