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12292206528 = 26379145987
BaseRepresentation
bin10110111001010110…
…00010111111000000
31011201122221210100110
423130223002333000
5200133301102103
65351424351320
7613420013550
oct133453027700
934648853313
1012292206528
1152386a2778
122470775540
13120b8641b4
14848763160
154be240403
hex2dcac2fc0

12292206528 has 56 divisors (see below), whose sum is σ = 37169295232. Its totient is φ = 3512058624.

The previous prime is 12292206469. The next prime is 12292206551. The reversal of 12292206528 is 82560229221.

12292206528 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 (56).

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 7 ways as a sum of consecutive naturals, for example, 4571650 + ... + 4574337.

Almost surely, 212292206528 is an apocalyptic number.

It is an amenable number.

12292206528 is an abundant number, since it is smaller than the sum of its proper divisors (24877088704).

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

12292206528 is an equidigital number, since it uses as much as digits as its factorization.

12292206528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146009 (or 9145999 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 12292206528 in words is "twelve billion, two hundred ninety-two million, two hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 9145987 18291974 27437961 36583948 54875922 64021909 73167896 109751844 128043818 146335792 192065727 219503688 256087636 292671584 384131454 439007376 512175272 585343168 768262908 878014752 1024350544 1536525816 1756029504 2048701088 3073051632 4097402176 6146103264 12292206528