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12927627900 = 223252112176983
BaseRepresentation
bin11000000101000101…
…11111001001111100
31020100221121112121100
430002202333021330
5202433433043100
65534443533100
7635234011155
oct140242771174
936327545540
1012927627900
115534344200
12260952a190
1312b03b2585
148a8cca92c
15509e08400
hex3028bf27c

12927627900 has 324 divisors, whose sum is σ = 47166262416. Its totient is φ = 2949196800.

The previous prime is 12927627893. The next prime is 12927627901. The reversal of 12927627900 is 972672921.

12927627900 is a `hidden beast` number, since 12 + 9 + 2 + 7 + 627 + 9 + 0 + 0 = 666.

12927627900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12927627901) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1847809 + ... + 1854791.

It is an arithmetic number, because the mean of its divisors is an integer number (145574884).

Almost surely, 212927627900 is an apocalyptic number.

12927627900 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 12927627900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23583131208).

12927627900 is an abundant number, since it is smaller than the sum of its proper divisors (34238634516).

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

12927627900 is a wasteful number, since it uses less digits than its factorization.

12927627900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12927627900 in words is "twelve billion, nine hundred twenty-seven million, six hundred twenty-seven thousand, nine hundred".