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12891979200 = 263526740087
BaseRepresentation
bin11000000000110101…
…11111110111000000
31020021110112101210010
430000122333313000
5202400321313300
65531131504520
7634322005122
oct140032776700
936243471703
1012891979200
115516205871
1225b95b8140
1312a5bb0479
148a428b212
15506c15a50
hex3006bfdc0

12891979200 has 168 divisors, whose sum is σ = 42928796032. Its totient is φ = 3386465280.

The previous prime is 12891979171. The next prime is 12891979213. The reversal of 12891979200 is 297919821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12891979200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301557 + ... + 341643.

Almost surely, 212891979200 is an apocalyptic number.

12891979200 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 12891979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464398016).

12891979200 is an abundant number, since it is smaller than the sum of its proper divisors (30036816832).

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

12891979200 is a wasteful number, since it uses less digits than its factorization.

12891979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40179 (or 40164 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 48.

The spelling of 12891979200 in words is "twelve billion, eight hundred ninety-one million, nine hundred seventy-nine thousand, two hundred".