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12414868704 = 253473718493
BaseRepresentation
bin10111000111111101…
…11101110011100000
31012001012202200020000
423203332331303200
5200411201244304
65411525420000
7616436433330
oct134376756340
935035680200
1012414868704
1152a0962677
1224a586a600
13122b0b0a74
1485ab730c0
154c9dbe939
hex2e3fbdce0

12414868704 has 240 divisors, whose sum is σ = 42857847648. Its totient is φ = 3451051008.

The previous prime is 12414868703. The next prime is 12414868751. The reversal of 12414868704 is 40786841421.

It is a self number, because there is not a number n which added to its sum of digits gives 12414868704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414868703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 662082 + ... + 680574.

Almost surely, 212414868704 is an apocalyptic number.

12414868704 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 12414868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21428923824).

12414868704 is an abundant number, since it is smaller than the sum of its proper divisors (30442978944).

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

12414868704 is a wasteful number, since it uses less digits than its factorization.

12414868704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18559 (or 18542 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12414868704 in words is "twelve billion, four hundred fourteen million, eight hundred sixty-eight thousand, seven hundred four".