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12057268536 = 2332167462063
BaseRepresentation
bin10110011101010101…
…10101000100111000
31011010021212201000100
423032222311010320
5144143130043121
65312233035400
7604535043255
oct131652650470
934107781010
1012057268536
115128017345
122405b55b60
1311a1c96431
1482548842c
154a87d4026
hex2ceab5138

12057268536 has 24 divisors (see below), whose sum is σ = 32655102480. Its totient is φ = 4019089488.

The previous prime is 12057268529. The next prime is 12057268543. The reversal of 12057268536 is 63586275021.

12057268536 is a `hidden beast` number, since 1 + 2 + 0 + 57 + 2 + 68 + 536 = 666.

12057268536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12057268529) and next prime (12057268543).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 12057268491 and 12057268500.

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 5 ways as a sum of consecutive naturals, for example, 83730960 + ... + 83731103.

It is an arithmetic number, because the mean of its divisors is an integer number (1360629270).

Almost surely, 212057268536 is an apocalyptic number.

It is an amenable number.

12057268536 is an abundant number, since it is smaller than the sum of its proper divisors (20597833944).

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

12057268536 is a wasteful number, since it uses less digits than its factorization.

12057268536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167462075 (or 167462068 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12057268536 in words is "twelve billion, fifty-seven million, two hundred sixty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167462063 334924126 502386189 669848252 1004772378 1339696504 1507158567 2009544756 3014317134 4019089512 6028634268 12057268536