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12406063680 = 2638519311
BaseRepresentation
bin10111000110111010…
…11000001001000000
31012000121012100000000
423203131120021000
5200401423014210
65411013000000
7616301541603
oct134335301100
935017170000
1012406063680
11529699929a
1224a2923000
13122931a0aa
1485992033a
154c9230ac0
hex2e3758240

12406063680 has 504 divisors, whose sum is σ = 46792774080. Its totient is φ = 3124085760.

The previous prime is 12406063639. The next prime is 12406063697. The reversal of 12406063680 is 8636060421.

12406063680 is a `hidden beast` number, since 1 + 2 + 40 + 606 + 3 + 6 + 8 + 0 = 666.

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, 39890725 + ... + 39891035.

Almost surely, 212406063680 is an apocalyptic number.

12406063680 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 12406063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23396387040).

12406063680 is an abundant number, since it is smaller than the sum of its proper divisors (34386710400).

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

12406063680 is an frugal number, since it uses more digits than its factorization.

12406063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12406063680 in words is "twelve billion, four hundred six million, sixty-three thousand, six hundred eighty".