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12628162920 = 2335105234691
BaseRepresentation
bin10111100001011001…
…00111100101101000
31012121002010010212210
423300230213211220
5201330302203140
65445025205120
7624636420342
oct136054474550
935532103783
1012628162920
1153a02a578a
1225451907a0
131263341169
1487b216292
154dd9a2d80
hex2f0b27968

12628162920 has 32 divisors (see below), whose sum is σ = 37884489120. Its totient is φ = 3367510080.

The previous prime is 12628162891. The next prime is 12628162951. The reversal of 12628162920 is 2926182621.

12628162920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126281629203 (a number of 31 digits) contains 333 as substring.

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, 52617226 + ... + 52617465.

It is an arithmetic number, because the mean of its divisors is an integer number (1183890285).

Almost surely, 212628162920 is an apocalyptic number.

12628162920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12628162920 is an abundant number, since it is smaller than the sum of its proper divisors (25256326200).

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

12628162920 is a wasteful number, since it uses less digits than its factorization.

12628162920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105234705 (or 105234701 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 12628162920 in words is "twelve billion, six hundred twenty-eight million, one hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 105234691 210469382 315704073 420938764 526173455 631408146 841877528 1052346910 1262816292 1578520365 2104693820 2525632584 3157040730 4209387640 6314081460 12628162920