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12986803200 = 210352731729
BaseRepresentation
bin11000001100001001…
…01110010000000000
31020112001221221212010
430012010232100000
5203044110200300
65544400132520
7636553002000
oct140604562000
936461857763
1012986803200
115564791508
122625307140
1312bc731047
148b2ad2000
155101e6a50
hex30612e400

12986803200 has 1056 divisors, whose sum is σ = 54826848000. Its totient is φ = 2697461760.

The previous prime is 12986803163. The next prime is 12986803201. The reversal of 12986803200 is 230868921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12986803201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447820786 + ... + 447820814.

Almost surely, 212986803200 is an apocalyptic number.

12986803200 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 12986803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27413424000).

12986803200 is an abundant number, since it is smaller than the sum of its proper divisors (41840044800).

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

12986803200 is a wasteful number, since it uses less digits than its factorization.

12986803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

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

The spelling of 12986803200 in words is "twelve billion, nine hundred eighty-six million, eight hundred three thousand, two hundred".