Search a number
-
+
12345666714792 = 23324132497128693
BaseRepresentation
bin1011001110100111001100…
…0101000011110010101000
31121201020022201222121100200
42303221303011003302220
53104232411134333132
642131304311232200
72412642062424135
oct263516305036250
947636281877320
1012345666714792
113a2a84a011904
12147480a978660
136b72645b6608
14309767b4158c
15166214817d7c
hexb3a73143ca8

12345666714792 has 96 divisors (see below), whose sum is σ = 34253017442280. Its totient is φ = 4014696222720.

The previous prime is 12345666714701. The next prime is 12345666714863. The reversal of 12345666714792 is 29741766654321.

It can be written as a sum of positive squares in 4 ways, for example, as 11985817898916 + 359848815876 = 3462054^2 + 599874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95866798 + ... + 95995490.

Almost surely, 212345666714792 is an apocalyptic number.

12345666714792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12345666714792 is an abundant number, since it is smaller than the sum of its proper divisors (21907350727488).

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

12345666714792 is a wasteful number, since it uses less digits than its factorization.

12345666714792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161243 (or 161236 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 12345666714792 in words is "twelve trillion, three hundred forty-five billion, six hundred sixty-six million, seven hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 32497 64994 97491 128693 129988 194982 257386 259976 292473 386079 389964 514772 584946 772158 779928 1029544 1158237 1169892 1332377 1544316 2316474 2339784 2664754 3088632 3997131 4632948 5276413 5329508 7994262 9265896 10552826 10659016 11991393 15829239 15988524 21105652 23982786 31658478 31977048 42211304 47487717 47965572 63316956 94975434 95931144 126633912 189950868 379901736 4182136421 8364272842 12546409263 16728545684 25092818526 33457091368 37639227789 50185637052 75278455578 100371274104 150556911156 171467593261 301113822312 342935186522 514402779783 685870373044 1028805559566 1371740746088 1543208339349 2057611119132 3086416678698 4115222238264 6172833357396 12345666714792