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12769834012 = 221334347719
BaseRepresentation
bin10111110010010010…
…00011010000011100
31012221221200210002021
423321021003100130
5202123034142022
65511045505524
7631306540525
oct137111032034
935857623067
1012769834012
115463269331
1225847122a4
1312867b5000
14891d7384c
154eb1397c7
hex2f924341c

12769834012 has 96 divisors (see below), whose sum is σ = 25333862400. Its totient is φ = 5626385856.

The previous prime is 12769834003. The next prime is 12769834031. The reversal of 12769834012 is 21043896721.

It is a super-2 number, since 2×127698340122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 12769834012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17760189 + ... + 17760907.

It is an arithmetic number, because the mean of its divisors is an integer number (263894400).

Almost surely, 212769834012 is an apocalyptic number.

It is an amenable number.

12769834012 is a deficient number, since it is larger than the sum of its proper divisors (12564028388).

12769834012 is a wasteful number, since it uses less digits than its factorization.

12769834012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 12769834012 in words is "twelve billion, seven hundred sixty-nine million, eight hundred thirty-four thousand, twelve".

Divisors: 1 2 4 13 26 43 47 52 86 94 169 172 188 338 559 611 676 719 1118 1222 1438 2021 2197 2236 2444 2876 4042 4394 7267 7943 8084 8788 9347 14534 15886 18694 26273 29068 30917 31772 33793 37388 52546 61834 67586 94471 103259 105092 121511 123668 135172 188942 206518 243022 341549 377884 401921 413036 439309 486044 683098 803842 878618 1366196 1453099 1579643 1607684 1757236 2906198 3159286 4440137 5224973 5711017 5812396 6318572 8880274 10449946 11422034 17760548 18890287 20899892 22844068 37780574 67924649 74243221 75561148 135849298 148486442 245573731 271698596 296972884 491147462 982294924 3192458503 6384917006 12769834012