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12686433468621 = 31137671277121439
BaseRepresentation
bin1011100010011100101001…
…0111000100000011001101
31122220210220100202022010020
42320213022113010003031
53130323303431443441
642552022253332353
72446364435145303
oct270471227040315
948823810668106
1012686433468621
114051316a5a6a0
12150a870a970b9
137104302a9c63
1431c053204273
1517000ae69e66
hexb89ca5c40cd

12686433468621 has 64 divisors (see below), whose sum is σ = 19249806090240. Its totient is φ = 7363456277760.

The previous prime is 12686433468601. The next prime is 12686433468637.

12686433468621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12686433468621 - 25 = 12686433468589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12686433468601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104406820 + ... + 104528258.

It is an arithmetic number, because the mean of its divisors is an integer number (300778220160).

Almost surely, 212686433468621 is an apocalyptic number.

12686433468621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12686433468621 is a deficient number, since it is larger than the sum of its proper divisors (6563372621619).

12686433468621 is a wasteful number, since it uses less digits than its factorization.

12686433468621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122834.

The product of its digits is 47775744, while the sum is 60.

The spelling of 12686433468621 in words is "twelve trillion, six hundred eighty-six billion, four hundred thirty-three million, four hundred sixty-eight thousand, six hundred twenty-one".

Divisors: 1 3 11 33 37 67 111 201 407 737 1221 1277 2211 2479 3831 7437 14047 27269 42141 47249 81807 85559 121439 141747 256677 364317 519739 941149 1335829 1559217 2823447 3165683 4007487 4493243 8136413 9497049 13479729 24409239 34822513 49425673 89500543 104467539 148277019 155077603 268501629 301047281 465232809 903141843 1705853633 3311520091 5117560899 5737871311 9934560273 10390199401 17213613933 31170598203 63116584421 114292193411 189349753263 342876580233 384437377837 1153312133511 4228811156207 12686433468621