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12934839072 = 253711897717
BaseRepresentation
bin11000000101111100…
…11111101100100000
31020101110011220110210
430002332133230200
5202442304322242
65535302254120
7635352214041
oct140276375440
936343156423
1012934839072
11553841a051
12260ba27340
1312b1a3893c
148a9c468c8
1550a87ed9c
hex302f9fb20

12934839072 has 48 divisors (see below), whose sum is σ = 34432195392. Its totient is φ = 4250883840.

The previous prime is 12934839059. The next prime is 12934839089. The reversal of 12934839072 is 27093843921.

12934839072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 942043 + ... + 955674.

It is an arithmetic number, because the mean of its divisors is an integer number (717337404).

Almost surely, 212934839072 is an apocalyptic number.

12934839072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12934839072 is an abundant number, since it is smaller than the sum of its proper divisors (21497356320).

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

12934839072 is a wasteful number, since it uses less digits than its factorization.

12934839072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897801 (or 1897793 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 12934839072 in words is "twelve billion, nine hundred thirty-four million, eight hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 1897717 3795434 5693151 7590868 11386302 15181736 22772604 30363472 45545208 60726944 91090416 134737907 182180832 269475814 404213721 538951628 808427442 1077903256 1616854884 2155806512 3233709768 4311613024 6467419536 12934839072