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12641216116 = 221719232914669
BaseRepresentation
bin10111100010111100…
…11010011001110100
31012121222200022111111
423301132122121310
5201342122403431
65450213044404
7625155364324
oct136136323164
935558608444
1012641216116
1153a7700851
122549626704
131265c61649
1487cc53284
154debd07b1
hex2f179a674

12641216116 has 96 divisors (see below), whose sum is σ = 26617248000. Its totient is φ = 5204441088.

The previous prime is 12641216069. The next prime is 12641216117. The reversal of 12641216116 is 61161214621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641216117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854430 + ... + 869098.

It is an arithmetic number, because the mean of its divisors is an integer number (277263000).

Almost surely, 212641216116 is an apocalyptic number.

It is an amenable number.

12641216116 is an abundant number, since it is smaller than the sum of its proper divisors (13976031884).

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

12641216116 is a wasteful number, since it uses less digits than its factorization.

12641216116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761 (or 14759 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The spelling of 12641216116 in words is "twelve billion, six hundred forty-one million, two hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 4 17 19 23 29 34 38 46 58 68 76 92 116 323 391 437 493 551 646 667 782 874 986 1102 1292 1334 1564 1748 1972 2204 2668 7429 9367 11339 12673 14669 14858 18734 22678 25346 29338 29716 37468 45356 50692 58676 215441 249373 278711 337387 425401 430882 498746 557422 674774 850802 861764 997492 1114844 1349548 1701604 4738087 5735579 6410353 7231817 8082619 9476174 9784223 11471158 12820706 14463634 16165238 18952348 19568446 22942316 25641412 28927268 32330476 39136892 108976001 137404523 166331791 185900237 217952002 274809046 332663582 371800474 435904004 549618092 665327164 743600948 3160304029 6320608058 12641216116