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12692018304 = 2738717127
BaseRepresentation
bin10111101001000000…
…01101010010000000
31012202112021100000000
423310200031102000
5201443124041204
65455230000000
7626343242550
oct136440152200
935675240000
1012692018304
11542334a229
122562646000
13127363ac04
148858b9160
154e43b8039
hex2f480d480

12692018304 has 576 divisors, whose sum is σ = 46254274560. Its totient is φ = 3386105856.

The previous prime is 12692018239. The next prime is 12692018341. The reversal of 12692018304 is 40381029621.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×126920183042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 99937089 + ... + 99937215.

It is an arithmetic number, because the mean of its divisors is an integer number (80302560).

Almost surely, 212692018304 is an apocalyptic number.

12692018304 is a gapful number since it is divisible by the number (14) 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 12692018304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23127137280).

12692018304 is an abundant number, since it is smaller than the sum of its proper divisors (33562256256).

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

12692018304 is an frugal number, since it uses more digits than its factorization.

12692018304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12692018304 in words is "twelve billion, six hundred ninety-two million, eighteen thousand, three hundred four".