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12932048085 = 3511213136779
BaseRepresentation
bin11000000101100111…
…10110010011010101
31020101020221002221220
430002303312103111
5202441101014320
65535122400553
7635316411045
oct140263662325
936336832856
1012932048085
115536893150
12260ab00159
1312b129c478
148a971b725
1550a4cce40
hex302cf64d5

12932048085 has 32 divisors (see below), whose sum is σ = 22583508480. Its totient is φ = 6266971200.

The previous prime is 12932048047. The next prime is 12932048093. The reversal of 12932048085 is 58084023921.

12932048085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12932048085 - 210 = 12932047061 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 333226 + ... + 370004.

It is an arithmetic number, because the mean of its divisors is an integer number (705734640).

Almost surely, 212932048085 is an apocalyptic number.

12932048085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12932048085 is a deficient number, since it is larger than the sum of its proper divisors (9651460395).

12932048085 is a wasteful number, since it uses less digits than its factorization.

12932048085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38929.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12932048085 in words is "twelve billion, nine hundred thirty-two million, forty-eight thousand, eighty-five".

Divisors: 1 3 5 11 15 33 55 165 2131 6393 10655 23441 31965 36779 70323 110337 117205 183895 351615 404569 551685 1213707 2022845 6068535 78376049 235128147 391880245 862136539 1175640735 2586409617 4310682695 12932048085