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12915435339 = 348913912889
BaseRepresentation
bin11000000011101000…
…11110011101001011
31020100002200002120000
430001310132131023
5202422322412324
65533330334043
7635025250302
oct140164363513
936302602500
1012915435339
115528476804
12260542a323
1312aaa03a41
148a7435439
15508cea9c9
hex301d1e74b

12915435339 has 40 divisors (see below), whose sum is σ = 19652094000. Its totient is φ = 8451641088.

The previous prime is 12915435329. The next prime is 12915435353. The reversal of 12915435339 is 93353451921.

12915435339 is a `hidden beast` number, since 1 + 29 + 1 + 543 + 53 + 39 = 666.

12915435339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12915435339 - 29 = 12915434827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12915435294 and 12915435303.

It is not an unprimeable number, because it can be changed into a prime (12915435329) 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 39 ways as a sum of consecutive naturals, for example, 995607 + ... + 1008495.

It is an arithmetic number, because the mean of its divisors is an integer number (491302350).

Almost surely, 212915435339 is an apocalyptic number.

12915435339 is a deficient number, since it is larger than the sum of its proper divisors (6736658661).

12915435339 is a wasteful number, since it uses less digits than its factorization.

12915435339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13120 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 12915435339 in words is "twelve billion, nine hundred fifteen million, four hundred thirty-five thousand, three hundred thirty-nine".

Divisors: 1 3 9 27 81 89 139 267 417 801 1251 2403 3753 7209 11259 12371 12889 37113 38667 111339 116001 334017 348003 1002051 1044009 1147121 1791571 3441363 5374713 10324089 16124139 30972267 48372417 92916801 145117251 159449819 478349457 1435048371 4305145113 12915435339