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12804019200 = 2103252717467
BaseRepresentation
bin10111110110010110…
…11101010000000000
31020001100000120100100
423323023131100000
5202210312103300
65514310322400
7632203240020
oct137313352000
936040016310
1012804019200
115480598155
122594059400
1312908c3c2b
14896711a80
154ee13d700
hex2fb2dd400

12804019200 has 792 divisors, whose sum is σ = 55594423872. Its totient is φ = 2748579840.

The previous prime is 12804019181. The next prime is 12804019213. The reversal of 12804019200 is 291040821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27417367 + ... + 27417833.

Almost surely, 212804019200 is an apocalyptic number.

12804019200 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 12804019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797211936).

12804019200 is an abundant number, since it is smaller than the sum of its proper divisors (42790404672).

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

12804019200 is a wasteful number, since it uses less digits than its factorization.

12804019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12804019200 in words is "twelve billion, eight hundred four million, nineteen thousand, two hundred".