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12641260164 = 223132137173263
BaseRepresentation
bin10111100010111101…
…00101001010000100
31012121222202112220220
423301132211022010
5201342130311124
65450214024340
7625155636621
oct136136451204
935558675826
1012641260164
1153a7730955
1225496480b0
131265c78700
1487cc65348
154debdd879
hex2f17a5284

12641260164 has 144 divisors (see below), whose sum is σ = 32481896832. Its totient is φ = 3824311296.

The previous prime is 12641260147. The next prime is 12641260169. The reversal of 12641260164 is 46106214621.

It is not an unprimeable number, because it can be changed into a prime (12641260169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48065497 + ... + 48065759.

It is an arithmetic number, because the mean of its divisors is an integer number (225568728).

Almost surely, 212641260164 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 12641260164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240948416).

12641260164 is an abundant number, since it is smaller than the sum of its proper divisors (19840636668).

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

12641260164 is a wasteful number, since it uses less digits than its factorization.

12641260164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 12641260164 its reverse (46106214621), we get a palindrome (58747474785).

The spelling of 12641260164 in words is "twelve billion, six hundred forty-one million, two hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 169 173 263 274 338 346 411 507 519 526 548 676 692 789 822 1014 1038 1052 1578 1644 1781 2028 2076 2249 3156 3419 3562 4498 5343 6747 6838 7124 8996 10257 10686 13494 13676 20514 21372 23153 23701 26988 29237 36031 41028 44447 45499 46306 47402 58474 69459 71103 72062 87711 88894 90998 92612 94804 108093 116948 133341 136497 138918 142206 144124 175422 177788 181996 216186 266682 272994 277836 284412 308113 350844 432372 468403 533364 545988 591487 616226 924339 936806 1182974 1232452 1405209 1774461 1848678 1873612 2365948 2810418 3548922 3697356 4005469 5620836 6089239 6233363 7097844 7689331 8010938 12016407 12178478 12466726 15378662 16021876 18267717 18700089 23067993 24032814 24356956 24933452 30757324 36535434 37400178 46135986 48065628 73070868 74800356 81033719 92271972 162067438 243101157 324134876 486202314 972404628 1053438347 2106876694 3160315041 4213753388 6320630082 12641260164