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12928582931 = 114153540877
BaseRepresentation
bin11000000101001101…
…01000010100010011
31020101000102001122212
430002212220110103
5202434204123211
65534520222335
7635245066415
oct140246502423
936330361585
1012928582931
115534936790
12260990a9ab
1312b0658194
148a90989b5
1550a04638b
hex3029a8513

12928582931 has 16 divisors (see below), whose sum is σ = 14720535648. Its totient is φ = 11250220800.

The previous prime is 12928582913. The next prime is 12928582967. The reversal of 12928582931 is 13928582921.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12928582931 - 26 = 12928582867 is a prime.

It is a super-2 number, since 2×129285829312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12928582931.

It is not an unprimeable number, because it can be changed into a prime (12928582531) 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 15 ways as a sum of consecutive naturals, for example, 246536 + ... + 294341.

It is an arithmetic number, because the mean of its divisors is an integer number (920033478).

Almost surely, 212928582931 is an apocalyptic number.

12928582931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12928582931 is a deficient number, since it is larger than the sum of its proper divisors (1791952717).

12928582931 is a wasteful number, since it uses less digits than its factorization.

12928582931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540982.

The product of its digits is 622080, while the sum is 50.

The spelling of 12928582931 in words is "twelve billion, nine hundred twenty-eight million, five hundred eighty-two thousand, nine hundred thirty-one".

Divisors: 1 11 41 53 451 583 2173 23903 540877 5949647 22175957 28666481 243935527 315331291 1175325721 12928582931