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12833058852 = 2233160174219
BaseRepresentation
bin10111111001110100…
…01111000000100100
31020010100122221021000
423330322033000210
5202240230340402
65521224553300
7633005125515
oct137472170044
936110587230
1012833058852
115495a22069
1225a1922830
131296920a63
1489a510a0c
15501977c1c
hex2fce8f024

12833058852 has 48 divisors (see below), whose sum is σ = 33292123200. Its totient is φ = 4274956800.

The previous prime is 12833058829. The next prime is 12833058877. The reversal of 12833058852 is 25885033821.

12833058852 is a `hidden beast` number, since 12 + 8 + 3 + 3 + 0 + 588 + 52 = 666.

12833058852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12833058798 and 12833058807.

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, 135799 + ... + 210017.

It is an arithmetic number, because the mean of its divisors is an integer number (693585900).

Almost surely, 212833058852 is an apocalyptic number.

12833058852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12833058852 is an abundant number, since it is smaller than the sum of its proper divisors (20459064348).

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

12833058852 is a wasteful number, since it uses less digits than its factorization.

12833058852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75833 (or 75825 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12833058852 in words is "twelve billion, eight hundred thirty-three million, fifty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1601 3202 4803 6404 9606 14409 19212 28818 43227 57636 74219 86454 148438 172908 222657 296876 445314 667971 890628 1335942 2003913 2671884 4007826 8015652 118824619 237649238 356473857 475298476 712947714 1069421571 1425895428 2138843142 3208264713 4277686284 6416529426 12833058852