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12906433431 = 33598101967
BaseRepresentation
bin11000000010100100…
…01000101110010111
31020022110201202021000
430001102020232113
5202413021332211
65532405354343
7634555605543
oct140122105627
936273652230
1012906433431
115523388511
1226024089b3
1312a8ba1578
148a6170a23
1550811d656
hex301488b97

12906433431 has 16 divisors (see below), whose sum is σ = 19444723200. Its totient is φ = 8458452504.

The previous prime is 12906433429. The next prime is 12906433447. The reversal of 12906433431 is 13433460921.

12906433431 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 643 + 3 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 12906433431 - 21 = 12906433429 is a prime.

It is a super-2 number, since 2×129064334312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12906433451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4049391 + ... + 4052576.

It is an arithmetic number, because the mean of its divisors is an integer number (1215295200).

Almost surely, 212906433431 is an apocalyptic number.

12906433431 is a deficient number, since it is larger than the sum of its proper divisors (6538289769).

12906433431 is an equidigital number, since it uses as much as digits as its factorization.

12906433431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8102035 (or 8102029 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 12906433431 in words is "twelve billion, nine hundred six million, four hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 59 177 531 1593 8101967 24305901 72917703 218753109 478016053 1434048159 4302144477 12906433431