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12174013134 = 2323731375827
BaseRepresentation
bin10110101011010000…
…01011001011001110
31011102102112221111100
423111220023023032
5144413021410014
65332003203530
7610453255443
oct132550131316
934372487440
1012174013134
115187a05288
1224390765a6
1311c022068a
14836b979ca
154b3b95009
hex2d5a0b2ce

12174013134 has 48 divisors (see below), whose sum is σ = 27103207248. Its totient is φ = 3946392576.

The previous prime is 12174013067. The next prime is 12174013139. The reversal of 12174013134 is 43131047121.

12174013134 is a `hidden beast` number, since 121 + 7 + 401 + 3 + 134 = 666.

12174013134 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 = 12174013098 and 12174013107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12174013139) 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 23 ways as a sum of consecutive naturals, for example, 2086329 + ... + 2092155.

It is an arithmetic number, because the mean of its divisors is an integer number (564650151).

Almost surely, 212174013134 is an apocalyptic number.

12174013134 is an abundant number, since it is smaller than the sum of its proper divisors (14929194114).

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

12174013134 is a wasteful number, since it uses less digits than its factorization.

12174013134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12174013134 in words is "twelve billion, one hundred seventy-four million, thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3137 5827 6274 9411 11654 17481 18822 28233 34962 52443 56466 104886 116069 215599 232138 348207 431198 646797 696414 1044621 1293594 1940391 2089242 3880782 18279299 36558598 54837897 109675794 164513691 329027382 676334063 1352668126 2029002189 4058004378 6087006567 12174013134