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10012980852 = 2232734611759
BaseRepresentation
bin10010101001101000…
…11111011001110100
3221211211012010111200
421110310133121310
5131001310341402
64333324532500
7503062635000
oct112464373164
927754163450
1010012980852
114279080796
121b353b1130
13c375b3a54
146adb81700
153d90c421c
hex254d1f674

10012980852 has 144 divisors (see below), whose sum is σ = 29597568000. Its totient is φ = 2853023040.

The previous prime is 10012980751. The next prime is 10012980869. The reversal of 10012980852 is 25808921001.

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 47 ways as a sum of consecutive naturals, for example, 5691549 + ... + 5693307.

Almost surely, 210012980852 is an apocalyptic number.

10012980852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012980852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798784000).

10012980852 is an abundant number, since it is smaller than the sum of its proper divisors (19584587148).

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

10012980852 is a wasteful number, since it uses less digits than its factorization.

10012980852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10012980852 in words is "ten billion, twelve million, nine hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 461 588 686 882 922 1029 1372 1383 1759 1764 1844 2058 2766 3087 3227 3518 4116 4149 5277 5532 6174 6454 7036 8298 9681 10554 12313 12348 12908 15831 16596 19362 21108 22589 24626 29043 31662 36939 38724 45178 49252 58086 63324 67767 73878 86191 90356 110817 116172 135534 147756 158123 172382 203301 221634 258573 271068 316246 344764 406602 443268 474369 517146 603337 632492 775719 810899 813204 948738 1034292 1206674 1423107 1551438 1621798 1810011 1897476 2413348 2432697 2846214 3102876 3243596 3620022 4865394 5430033 5676293 5692428 7240044 7298091 9730788 10860066 11352586 14596182 17028879 21720132 22705172 29192364 34057758 39734051 51086637 68115516 79468102 102173274 119202153 158936204 204346548 238404306 278138357 357606459 476808612 556276714 715212918 834415071 1112553428 1430425836 1668830142 2503245213 3337660284 5006490426 10012980852