Search a number
-
+
12057068412 = 22321917627293
BaseRepresentation
bin10110011101010100…
…00100001101111100
31011010021111112111100
423032222010031330
5144143102142122
65312224453100
7604533250644
oct131652041574
934107445440
1012057068412
11512799aa54
122405a7a190
1311a1c2630c
14825435524
154a8794aac
hex2cea8437c

12057068412 has 36 divisors (see below), whose sum is σ = 32081675080. Its totient is φ = 3807495072.

The previous prime is 12057068411. The next prime is 12057068417. The reversal of 12057068412 is 21486075021.

12057068412 is a `hidden beast` number, since 1 + 2 + 0 + 570 + 6 + 84 + 1 + 2 = 666.

12057068412 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057068411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8812963 + ... + 8814330.

Almost surely, 212057068412 is an apocalyptic number.

12057068412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12057068412 is an abundant number, since it is smaller than the sum of its proper divisors (20024606668).

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

12057068412 is a wasteful number, since it uses less digits than its factorization.

12057068412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627322 (or 17627317 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12057068412 in words is "twelve billion, fifty-seven million, sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 17627293 35254586 52881879 70509172 105763758 158645637 211527516 317291274 334918567 634582548 669837134 1004755701 1339674268 2009511402 3014267103 4019022804 6028534206 12057068412