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12925240200 = 23335219263479
BaseRepresentation
bin11000000100110011…
…11000001110001000
31020100210010020022000
430002121320032020
5202432330141300
65534320431000
7635204505015
oct140231701610
936323106260
1012925240200
115532a632a4
122608778460
1312aca57832
148a886870c
15509ad5c00
hex302678388

12925240200 has 384 divisors, whose sum is σ = 47139840000. Its totient is φ = 3246117120.

The previous prime is 12925240193. The next prime is 12925240243. The reversal of 12925240200 is 204252921.

It is a happy number.

12925240200 is a `hidden beast` number, since 1 + 2 + 9 + 252 + 402 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26983561 + ... + 26984039.

It is an arithmetic number, because the mean of its divisors is an integer number (122760000).

Almost surely, 212925240200 is an apocalyptic number.

12925240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12925240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920000).

12925240200 is an abundant number, since it is smaller than the sum of its proper divisors (34214599800).

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

12925240200 is a wasteful number, since it uses less digits than its factorization.

12925240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12925240200 in words is "twelve billion, nine hundred twenty-five million, two hundred forty thousand, two hundred".