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12261555342 = 2321935852501
BaseRepresentation
bin10110110101101100…
…00111110010001110
31011122112021112211100
423122312013302032
5200102424232332
65344411403530
7612565333521
oct133266076216
934575245740
1012261555342
115222368013
1224624535a6
1312053c19ba
14844664bb8
154bb6d867c
hex2dad87c8e

12261555342 has 24 divisors (see below), whose sum is σ = 27964951560. Its totient is φ = 3872070000.

The previous prime is 12261555331. The next prime is 12261555359. The reversal of 12261555342 is 24355516221.

12261555342 is a `hidden beast` number, since 1 + 2 + 2 + 61 + 5 + 553 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12261555297 and 12261555306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17925909 + ... + 17926592.

It is an arithmetic number, because the mean of its divisors is an integer number (1165206315).

Almost surely, 212261555342 is an apocalyptic number.

12261555342 is an abundant number, since it is smaller than the sum of its proper divisors (15703396218).

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

12261555342 is a wasteful number, since it uses less digits than its factorization.

12261555342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35852528 (or 35852525 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 12261555342 in words is "twelve billion, two hundred sixty-one million, five hundred fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 35852501 71705002 107557503 215115006 322672509 645345018 681197519 1362395038 2043592557 4087185114 6130777671 12261555342