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12902025779721 = 3213231229712
BaseRepresentation
bin1011101110111111110010…
…1010011101101000001001
31200200102101100201110101100
42323233330222131220021
53142341322044422341
643235035301012013
72501066140435251
oct273577452355011
950612340643340
1012902025779721
11412479a219a11
1215445ba3b4009
1372786aa7b100
14328666050961
151759282033b6
hexbbbfca9da09

12902025779721 has 81 divisors (see below), whose sum is σ = 20859082251111. Its totient is φ = 7681002357600.

The previous prime is 12902025779719. The next prime is 12902025779729. The reversal of 12902025779721 is 12797752020921.

The square root of 12902025779721 is 3591939.

It is a perfect power (a square), and thus also a powerful number.

12902025779721 is a `hidden beast` number, since 1 + 29 + 0 + 20 + 2 + 577 + 9 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1908583695225 + 10993442084496 = 1381515^2 + 3315636^2 .

It is not a de Polignac number, because 12902025779721 - 21 = 12902025779719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12902025779729) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4342652766 + ... + 4342655736.

Almost surely, 212902025779721 is an apocalyptic number.

12902025779721 is the 3591939-th square number.

12902025779721 is the 1795970-th centered octagonal number.

It is an amenable number.

12902025779721 is a deficient number, since it is larger than the sum of its proper divisors (7957056471390).

12902025779721 is an frugal number, since it uses more digits than its factorization.

12902025779721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 12902025779721 in words is "twelve trillion, nine hundred two billion, twenty-five million, seven hundred seventy-nine thousand, seven hundred twenty-one".

Divisors: 1 3 9 13 31 39 93 117 169 279 403 507 961 1209 1521 2883 2971 3627 5239 8649 8913 12493 15717 26739 37479 38623 47151 92101 112437 115869 162409 276303 347607 487227 502099 828909 1197313 1461681 1506297 2855131 3591939 4518891 8565393 8826841 10775817 15565069 25696179 26480523 37116703 46695207 79441569 111350109 114748933 140085621 273632071 334050327 344246799 482517139 820896213 1032740397 1447551417 1491736129 2462688639 3557216923 4342654251 4475208387 8482594201 10671650769 13425625161 25447782603 32014952307 46243819999 76343347809 110273724613 138731459997 330821173839 416194379991 992463521517 1433558419969 4300675259907 12902025779721