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12656250000 = 2434510
BaseRepresentation
bin10111100100101111…
…10000110010010000
31012200000222010010000
423302113300302100
5201410000000000
65451511210000
7625430231022
oct136227606220
935600863100
1012656250000
115405139a49
122552676900
1312690c6534
14880c48012
154e11a0000
hex2f25f0c90

12656250000 has 275 divisors, whose sum is σ = 45788573281. Its totient is φ = 3375000000.

The previous prime is 12656249993. The next prime is 12656250011. The reversal of 12656250000 is 5265621.

The square root of 12656250000 is 112500.

It is a perfect power (a square), and thus also a powerful number.

12656250000 is a `hidden beast` number, since 1 + 2 + 656 + 2 + 5 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 72795024 + 12583454976 = 8532^2 + 112176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 2531249998 + ... + 2531250002.

Almost surely, 212656250000 is an apocalyptic number.

12656250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12656250000 is the 112500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12656250000

12656250000 is an abundant number, since it is smaller than the sum of its proper divisors (33132323281).

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

12656250000 is an frugal number, since it uses more digits than its factorization.

12656250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 12656250000 by its product of nonzero digits (3600), we get a square (45562500000000 = 67500002).

12656250000 divided by its product of nonzero digits (3600) gives a square (3515625 = 18752).

The spelling of 12656250000 in words is "twelve billion, six hundred fifty-six million, two hundred fifty thousand".