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12420343624 = 2313192330821
BaseRepresentation
bin10111001000100111…
…10110011101001000
31012001121001211101211
423210103312131020
5200414101443444
65412243022504
7616534115233
oct134423663510
935047054354
1012420343624
1152a3a61aa7
1224a766aa34
13122c279a70
1485b79a41a
154ca601c34
hex2e44f6748

12420343624 has 48 divisors (see below), whose sum is σ = 26469068220. Its totient is φ = 5430741120.

The previous prime is 12420343577. The next prime is 12420343627. The reversal of 12420343624 is 42634302421.

12420343624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12052087524 + 368256100 = 109782^2 + 19190^2 .

It is not an unprimeable number, because it can be changed into a prime (12420343627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127867 + ... + 202954.

Almost surely, 212420343624 is an apocalyptic number.

It is an amenable number.

12420343624 is an abundant number, since it is smaller than the sum of its proper divisors (14048724596).

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

12420343624 is a wasteful number, since it uses less digits than its factorization.

12420343624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330878 (or 330855 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 12420343624 in words is "twelve billion, four hundred twenty million, three hundred forty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 9386 18772 37544 330821 661642 1323284 2646568 4300673 6285599 8601346 12571198 17202692 25142396 34405384 50284792 81712787 119426381 163425574 238852762 326851148 477705524 653702296 955411048 1552542953 3105085906 6210171812 12420343624