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12256261146 = 234174450349
BaseRepresentation
bin10110110101000011…
…11011010000011010
31011122011022120120000
423122201323100122
5200100100324041
65344102113430
7612502333533
oct133241732032
934564276500
1012256261146
11521a381448
12246071b876
13120428a03c
14843a8768a
154baedebb6
hex2da87b41a

12256261146 has 40 divisors (see below), whose sum is σ = 29078586900. Its totient is φ = 3845100672.

The previous prime is 12256261123. The next prime is 12256261189. The reversal of 12256261146 is 64116265221.

12256261146 is a `hidden beast` number, since 1 + 2 + 25 + 626 + 1 + 1 + 4 + 6 = 666.

12256261146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11238332121 + 1017929025 = 106011^2 + 31905^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12256261146.

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 19 ways as a sum of consecutive naturals, for example, 2222421 + ... + 2227928.

Almost surely, 212256261146 is an apocalyptic number.

12256261146 is an abundant number, since it is smaller than the sum of its proper divisors (16822325754).

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

12256261146 is a wasteful number, since it uses less digits than its factorization.

12256261146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450380 (or 4450371 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12256261146 in words is "twelve billion, two hundred fifty-six million, two hundred sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 4450349 8900698 13351047 26702094 40053141 75655933 80106282 120159423 151311866 226967799 240318846 360478269 453935598 680903397 720956538 1361806794 2042710191 4085420382 6128130573 12256261146