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12643660718208 = 2734133161113439
BaseRepresentation
bin1011011111111101010011…
…1001111110000010000000
31122202201111110021110010000
42313333110321332002000
53124123204120440313
642520230105040000
72443321461601122
oct267772471760200
948681443243100
1012643660718208
114035167946193
121502514486000
137093a494b5a0
14319d566a7212
1516dd55d2c673
hexb7fd4e7e080

12643660718208 has 1280 divisors, whose sum is σ = 42988548556800. Its totient is φ = 3662010777600.

The previous prime is 12643660718167. The next prime is 12643660718209. The reversal of 12643660718208 is 80281706634621.

It is a happy number.

12643660718208 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 3 + 6 + 607 + 1 + 8 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12643660718209) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28801049253 + ... + 28801049691.

It is an arithmetic number, because the mean of its divisors is an integer number (33584803560).

Almost surely, 212643660718208 is an apocalyptic number.

12643660718208 is a gapful number since it is divisible by the number (18) 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 12643660718208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494274278400).

12643660718208 is an abundant number, since it is smaller than the sum of its proper divisors (30344887838592).

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

12643660718208 is a wasteful number, since it uses less digits than its factorization.

12643660718208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 12643660718208 in words is "twelve trillion, six hundred forty-three billion, six hundred sixty million, seven hundred eighteen thousand, two hundred eight".