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12415084929 = 3213228572
BaseRepresentation
bin10111000111111111…
…10010100110000001
31012001020011122211100
423203333302212001
5200411230204204
65411534205013
7616441323612
oct134377624601
935036148740
1012415084929
1152a0aa0075
1224a5953769
13122b158300
1485abcbc09
154c9e13a39
hex2e3ff2981

12415084929 has 27 divisors (see below), whose sum is σ = 19425265353. Its totient is φ = 7637378112.

The previous prime is 12415084907. The next prime is 12415084931. The reversal of 12415084929 is 92948051421.

It is a happy number.

The square root of 12415084929 is 111423.

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

12415084929 is a `hidden beast` number, since 1 + 2 + 4 + 150 + 8 + 492 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 555874929 + 11859210000 = 23577^2 + 108900^2 .

It is not a de Polignac number, because 12415084929 - 233 = 3825150337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12415084949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4344069 + ... + 4346925.

Almost surely, 212415084929 is an apocalyptic number.

12415084929 is the 111423-rd square number.

12415084929 is the 55712-nd centered octagonal number.

It is an amenable number.

12415084929 is a deficient number, since it is larger than the sum of its proper divisors (7010180424).

12415084929 is an frugal number, since it uses more digits than its factorization.

12415084929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12415084929 in words is "twelve billion, four hundred fifteen million, eighty-four thousand, nine hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 2857 8571 25713 37141 111423 334269 482833 1448499 4345497 8162449 24487347 73462041 106111837 318335511 955006533 1379453881 4138361643 12415084929