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12718622340 = 223252331113877
BaseRepresentation
bin10111101100001011…
…01100011010000100
31012211101022221212200
423312011230122010
5202021431403330
65502020114500
7630115335414
oct136605543204
935741287780
1012718622340
115437370236
12256b535a30
131278cc4248
14889242644
154e68c0a60
hex2f616c684

12718622340 has 288 divisors, whose sum is σ = 41971378176. Its totient is φ = 3108188160.

The previous prime is 12718622339. The next prime is 12718622377. The reversal of 12718622340 is 4322681721.

It is a happy number.

12718622340 is a `hidden beast` number, since 1 + 27 + 1 + 8 + 622 + 3 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12718622295 and 12718622304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14501982 + ... + 14502858.

It is an arithmetic number, because the mean of its divisors is an integer number (145733952).

Almost surely, 212718622340 is an apocalyptic number.

12718622340 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 12718622340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20985689088).

12718622340 is an abundant number, since it is smaller than the sum of its proper divisors (29252755836).

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

12718622340 is a wasteful number, since it uses less digits than its factorization.

12718622340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12718622340 in words is "twelve billion, seven hundred eighteen million, six hundred twenty-two thousand, three hundred forty".