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12914899200 = 28345273559
BaseRepresentation
bin11000000011100100…
…11011100100000000
31020100001122212010000
430001302123210000
5202422203233300
65533311040000
7635020555230
oct140162334400
936301585100
1012914899200
11552813aa15
122605210000
1312aa8769b8
148a7335cc0
15508c41c00
hex301c9b900

12914899200 has 540 divisors, whose sum is σ = 54589353280. Its totient is φ = 2951147520.

The previous prime is 12914899147. The next prime is 12914899271. The reversal of 12914899200 is 299841921.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3627021 + ... + 3630579.

Almost surely, 212914899200 is an apocalyptic number.

12914899200 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 12914899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27294676640).

12914899200 is an abundant number, since it is smaller than the sum of its proper divisors (41674454080).

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

12914899200 is an equidigital number, since it uses as much as digits as its factorization.

12914899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12914899200 in words is "twelve billion, nine hundred fourteen million, eight hundred ninety-nine thousand, two hundred".