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12046645134 = 234435929311
BaseRepresentation
bin10110011100000100…
…10011011110001110
31011002112212222110000
423032002103132032
5144132420121014
65311213225130
7604345536246
oct131602233616
934075788400
1012046645134
115122020877
1224024921a6
13119ca16bb4
14823cc0b26
154a78d6509
hex2ce09378e

12046645134 has 80 divisors (see below), whose sum is σ = 28090275840. Its totient is φ = 3855554640.

The previous prime is 12046645103. The next prime is 12046645223. The reversal of 12046645134 is 43154664021.

12046645134 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 645 + 1 + 3 + 4 = 666.

12046645134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 396339 + ... + 425649.

It is an arithmetic number, because the mean of its divisors is an integer number (351128448).

Almost surely, 212046645134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12046645134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045137920).

12046645134 is an abundant number, since it is smaller than the sum of its proper divisors (16043630706).

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

12046645134 is a wasteful number, since it uses less digits than its factorization.

12046645134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29427 (or 29418 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 120466 and 45134, that added together give a triangular number (165600 = T575).

The spelling of 12046645134 in words is "twelve billion, forty-six million, six hundred forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 59 81 86 118 129 162 177 258 354 387 531 774 1062 1161 1593 2322 2537 3186 3483 4779 5074 6966 7611 9558 15222 22833 29311 45666 58622 68499 87933 136998 175866 205497 263799 410994 527598 791397 1260373 1582794 1729349 2374191 2520746 3458698 3781119 4748382 5188047 7562238 10376094 11343357 15564141 22686714 31128282 34030071 46692423 68060142 74362007 93384846 102090213 140077269 148724014 204180426 223086021 280154538 446172042 669258063 1338516126 2007774189 4015548378 6023322567 12046645134