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12843536496 = 2437373173259
BaseRepresentation
bin10111111011000100…
…01101000001110000
31020011002101020212220
423331202031001300
5202300421131441
65522241321040
7633163154550
oct137542150160
936132336786
1012843536496
1154a092907a
1225a5336180
131298b4bb4b
1489ba7b160
15502847466
hex2fd88d070

12843536496 has 160 divisors (see below), whose sum is σ = 39078689280. Its totient is φ = 3558048768.

The previous prime is 12843536471. The next prime is 12843536509. The reversal of 12843536496 is 69463534821.

It is a super-3 number, since 3×128435364963 (a number of 31 digits) contains 333 as substring.

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, 3939315 + ... + 3942573.

It is an arithmetic number, because the mean of its divisors is an integer number (244241808).

Almost surely, 212843536496 is an apocalyptic number.

12843536496 is a gapful number since it is divisible by the number (16) 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 12843536496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19539344640).

12843536496 is an abundant number, since it is smaller than the sum of its proper divisors (26235152784).

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

12843536496 is a wasteful number, since it uses less digits than its factorization.

12843536496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3625 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 12843536496 in words is "twelve billion, eight hundred forty-three million, five hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 317 336 444 518 592 634 777 888 951 1036 1268 1554 1776 1902 2072 2219 2536 3108 3259 3804 4144 4438 5072 6216 6518 6657 7608 8876 9777 11729 12432 13036 13314 15216 17752 19554 22813 23458 26072 26628 35187 35504 39108 45626 46916 52144 53256 68439 70374 78216 82103 91252 93832 106512 120583 136878 140748 156432 164206 182504 187664 241166 246309 273756 281496 328412 361749 365008 482332 492618 547512 562992 656824 723498 844081 964664 985236 1033103 1095024 1313648 1446996 1688162 1929328 1970472 2066206 2532243 2893992 3099309 3376324 3940944 4132412 5064486 5787984 6198618 6752648 7231721 8264824 10128972 12397236 13505296 14463442 16529648 20257944 21695163 24794472 28926884 38224811 40515888 43390326 49588944 57853768 76449622 86780652 114674433 115707536 152899244 173561304 229348866 267573677 305798488 347122608 458697732 535147354 611596976 802721031 917395464 1070294708 1605442062 1834790928 2140589416 3210884124 4281178832 6421768248 12843536496