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12677975226 = 23371911531531
BaseRepresentation
bin10111100111010101…
…01000110010111010
31012201112211212112000
423303222220302322
5201431030201401
65454005001430
7626113003620
oct136352506272
935645755460
1012677975226
115416428484
1225599b3276
131270761cb7
14883aa1510
154e3042186
hex2f3aa8cba

12677975226 has 128 divisors (see below), whose sum is σ = 33944217600. Its totient is φ = 3426416640.

The previous prime is 12677975213. The next prime is 12677975243. The reversal of 12677975226 is 62257977621.

It is a happy number.

12677975226 is a `hidden beast` number, since 1 + 26 + 7 + 7 + 97 + 522 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8280081 + ... + 8281611.

It is an arithmetic number, because the mean of its divisors is an integer number (265189200).

Almost surely, 212677975226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12677975226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972108800).

12677975226 is an abundant number, since it is smaller than the sum of its proper divisors (21266242374).

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

12677975226 is a wasteful number, since it uses less digits than its factorization.

12677975226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 12677975226 in words is "twelve billion, six hundred seventy-seven million, nine hundred seventy-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1153 1197 1531 2306 2394 3062 3459 3591 4593 6918 7182 8071 9186 10377 10717 13779 16142 20754 21434 21907 24213 27558 29089 31131 32151 41337 43814 48426 58178 62262 64302 65721 72639 82674 87267 96453 131442 145278 153349 174534 192906 197163 203623 217917 261801 289359 306698 394326 407246 435834 460047 523602 578718 591489 610869 785403 920094 1182978 1221738 1380141 1570806 1765243 1832607 2760282 3530486 3665214 4140423 5295729 5497821 8280846 10591458 10995642 12356701 15887187 24713402 31774374 33539617 37070103 47661561 67079234 74140206 95323122 100618851 111210309 201237702 222420618 234777319 301856553 333630927 469554638 603713106 667261854 704331957 905569659 1408663914 1811139318 2112995871 4225991742 6338987613 12677975226