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12956813583 = 37219231011997
BaseRepresentation
bin11000001000100100…
…10100100100001111
31020102222112022211120
430010102110210033
5203013421013313
65541405252023
7636040045500
oct140422244417
936388468746
1012956813583
1155498688aa
122617264013
1312b64609cc
148acb26ba7
1550c770d23
hex30449490f

12956813583 has 96 divisors (see below), whose sum is σ = 22303434240. Its totient is φ = 6639494400.

The previous prime is 12956813579. The next prime is 12956813603. The reversal of 12956813583 is 38531865921.

It is a happy number.

It is a Cunningham number, because it is equal to 1138282-1.

It is not a de Polignac number, because 12956813583 - 22 = 12956813579 is a prime.

It is a super-2 number, since 2×129568135832 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956813183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6487141 + ... + 6489137.

It is an arithmetic number, because the mean of its divisors is an integer number (232327440).

Almost surely, 212956813583 is an apocalyptic number.

12956813583 is a deficient number, since it is larger than the sum of its proper divisors (9346620657).

12956813583 is a wasteful number, since it uses less digits than its factorization.

12956813583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2150 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 12956813583 in words is "twelve billion, nine hundred fifty-six million, eight hundred thirteen thousand, five hundred eighty-three".

Divisors: 1 3 7 19 21 23 49 57 69 101 133 147 161 303 399 437 483 707 931 1127 1311 1919 1997 2121 2323 2793 3059 3381 4949 5757 5991 6969 9177 13433 13979 14847 16261 21413 37943 40299 41937 44137 45931 48783 64239 94031 97853 113827 113829 132411 137793 201697 265601 282093 293559 308959 321517 341481 605091 796803 872689 926877 964551 1411879 1859207 2162713 2250619 2618067 3832243 4235637 4639031 5577621 6108823 6488139 6751857 9883153 11496729 13917093 18326469 26825701 29649459 32473217 42761761 80477103 88141589 97419651 128285283 187779907 227312519 264424767 563339721 616991123 681937557 1850973369 4318937861 12956813583