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12843224316 = 223213297331291
BaseRepresentation
bin10111111011000010…
…00000110011111100
31020011001210101122200
423331201000303330
5202300331134231
65522230511500
7633160414446
oct137541006374
936131711580
1012843224316
1154a073557a
1225a5205590
131298a6ca20
1489b9d9496
155027d4be6
hex2fd840cfc

12843224316 has 144 divisors (see below), whose sum is σ = 36245096160. Its totient is φ = 3807336960.

The previous prime is 12843224309. The next prime is 12843224333. The reversal of 12843224316 is 61342234821.

12843224316 is a `hidden beast` number, since 1 + 284 + 322 + 43 + 16 = 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 47 ways as a sum of consecutive naturals, for example, 9947631 + ... + 9948921.

Almost surely, 212843224316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12843224316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122548080).

12843224316 is an abundant number, since it is smaller than the sum of its proper divisors (23401871844).

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

12843224316 is a wasteful number, since it uses less digits than its factorization.

12843224316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2071 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 12843224316 in words is "twelve billion, eight hundred forty-three million, two hundred twenty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 733 754 1044 1131 1291 1466 1508 2199 2262 2582 2932 3393 3873 4398 4524 5164 6597 6786 7746 8796 9529 11619 13194 13572 15492 16783 19058 21257 23238 26388 28587 33566 37439 38116 42514 46476 50349 57174 63771 67132 74878 85028 85761 100698 112317 114348 127542 149756 151047 171522 191313 201396 224634 255084 276341 302094 336951 343044 382626 449268 486707 552682 604188 673902 765252 829023 946303 973414 1105364 1347804 1460121 1658046 1892606 1946828 2487069 2838909 2920242 3316092 3785212 4380363 4974138 5677818 5840484 8516727 8760726 9948276 11355636 12301939 17033454 17521452 24603878 27442787 34066908 36905817 49207756 54885574 73811634 82328361 109771148 110717451 147623268 164656722 221434902 246985083 329313444 356756231 442869804 493970166 713512462 987940332 1070268693 1427024924 2140537386 3210806079 4281074772 6421612158 12843224316