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12493804800 = 283523743409
BaseRepresentation
bin10111010001011000…
…00101010100000000
31012020201022001012010
423220230011110000
5201041403223200
65423425332520
7621415405611
oct135054052400
935221261163
1012493804800
115331477514
122508197140
13124155ab09
1486743dc08
154d1cb3150
hex2e8b05500

12493804800 has 432 divisors, whose sum is σ = 43437289280. Its totient is φ = 3158507520.

The previous prime is 12493804789. The next prime is 12493804819. The reversal of 12493804800 is 840839421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30546996 + ... + 30547404.

Almost surely, 212493804800 is an apocalyptic number.

12493804800 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 12493804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718644640).

12493804800 is an abundant number, since it is smaller than the sum of its proper divisors (30943484480).

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

12493804800 is a wasteful number, since it uses less digits than its factorization.

12493804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 12493804800 in words is "twelve billion, four hundred ninety-three million, eight hundred four thousand, eight hundred".