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12268428444 = 22321049324871
BaseRepresentation
bin10110110110100000…
…10101110010011100
31011200000012201221200
423123100111302130
5200111204202234
65345214555500
7613010630646
oct133320256234
934600181850
1012268428444
115226231968
122464808b90
13120695a21c
14845533896
154bc0e4d99
hex2db415c9c

12268428444 has 36 divisors (see below), whose sum is σ = 31041519600. Its totient is φ = 4085565120.

The previous prime is 12268428409. The next prime is 12268428461. The reversal of 12268428444 is 44482486221.

12268428444 is a `hidden beast` number, since 122 + 6 + 84 + 2 + 8 + 444 = 666.

12268428444 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 super-2 number, since 2×122684284442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12268428444.

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 11 ways as a sum of consecutive naturals, for example, 124672 + ... + 200199.

Almost surely, 212268428444 is an apocalyptic number.

It is an amenable number.

12268428444 is an abundant number, since it is smaller than the sum of its proper divisors (18773091156).

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

12268428444 is a wasteful number, since it uses less digits than its factorization.

12268428444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325930 (or 325925 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The spelling of 12268428444 in words is "twelve billion, two hundred sixty-eight million, four hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1049 2098 3147 4196 6294 9441 12588 18882 37764 324871 649742 974613 1299484 1949226 2923839 3898452 5847678 11695356 340789679 681579358 1022369037 1363158716 2044738074 3067107111 4089476148 6134214222 12268428444