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12969337689 = 3272112172292
BaseRepresentation
bin11000001010000100…
…00110001101011001
31020110212002121200100
430011002012031121
5203030122301224
65542533530013
7636251360100
oct140502061531
936425077610
1012969337689
115555942400
12261b4a3909
1312b8c27419
148b0667037
1550d8e6ac9
hex305086359

12969337689 has 243 divisors, whose sum is σ = 26352776541. Its totient is φ = 6122350080.

The previous prime is 12969337679. The next prime is 12969337709. The reversal of 12969337689 is 98673396921.

The square root of 12969337689 is 113883.

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

12969337689 is a `hidden beast` number, since 1 + 296 + 9 + 337 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281998025 + 11687339664 = 35805^2 + 108108^2 .

It is not a de Polignac number, because 12969337689 - 25 = 12969337657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12969337609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 447218527 + ... + 447218555.

Almost surely, 212969337689 is an apocalyptic number.

12969337689 is the 113883-rd square number.

12969337689 is the 56942-nd centered octagonal number.

It is an amenable number.

12969337689 is an abundant number, since it is smaller than the sum of its proper divisors (13383438852).

12969337689 is a wasteful number, since it uses less digits than its factorization.

12969337689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 12969337689 in words is "twelve billion, nine hundred sixty-nine million, three hundred thirty-seven thousand, six hundred eighty-nine".