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12515472000 = 2736532937
BaseRepresentation
bin10111010011111101…
…01111001010000000
31012022020001212000000
423221332233022000
5201112430101000
65425522000000
7622100520363
oct135176571200
935266055000
1012515472000
115342726399
1225134a6000
131245ba6045
1486a2800da
154d3b43000
hex2e9faf280

12515472000 has 896 divisors, whose sum is σ = 49566675600. Its totient is φ = 3135283200.

The previous prime is 12515471989. The next prime is 12515472023. The reversal of 12515472000 is 27451521.

It can be written as a sum of positive squares in 8 ways, for example, as 2077171776 + 10438300224 = 45576^2 + 102168^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 338255982 + ... + 338256018.

Almost surely, 212515472000 is an apocalyptic number.

12515472000 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 12515472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783337800).

12515472000 is an abundant number, since it is smaller than the sum of its proper divisors (37051203600).

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

12515472000 is an frugal number, since it uses more digits than its factorization.

12515472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 12515472000 in words is "twelve billion, five hundred fifteen million, four hundred seventy-two thousand".