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13138013928 = 23313316313313
BaseRepresentation
bin11000011110001011…
…00010111011101000
31020220121111020222110
430033011202323220
5203401312421203
610011401122320
7643400163414
oct141705427350
936817436873
1013138013928
115632080356
122667a893a0
131314b65050
148c8c13d44
1551d614d03
hex30f162ee8

13138013928 has 64 divisors (see below), whose sum is σ = 35385416640. Its totient is φ = 4040884224.

The previous prime is 13138013893. The next prime is 13138013953. The reversal of 13138013928 is 82931083131.

13138013928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 980200 + ... + 993512.

It is an arithmetic number, because the mean of its divisors is an integer number (552897135).

Almost surely, 213138013928 is an apocalyptic number.

It is an amenable number.

13138013928 is an abundant number, since it is smaller than the sum of its proper divisors (22247402712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13138013928 is a wasteful number, since it uses less digits than its factorization.

13138013928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16498 (or 16494 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 13138013928 in words is "thirteen billion, one hundred thirty-eight million, thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 3163 6326 9489 12652 13313 18978 25304 26626 37956 39939 41119 53252 75912 79878 82238 106504 123357 159756 164476 173069 246714 319512 328952 346138 493428 519207 692276 986856 1038414 1384552 2076828 4153656 42109019 84218038 126327057 168436076 252654114 336872152 505308228 547417247 1010616456 1094834494 1642251741 2189668988 3284503482 4379337976 6569006964 13138013928