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12664676808 = 233373199859
BaseRepresentation
bin10111100101101111…
…11010000111001000
31012200121211020112000
423302313322013020
5201414124124213
65452411551000
7625561656000
oct136267720710
935617736460
1012664676808
115409975153
12255545b460
13126aa87004
14881ddd000
154e1cb6c73
hex2f2dfa1c8

12664676808 has 256 divisors, whose sum is σ = 41280000000. Its totient is φ = 3596104512.

The previous prime is 12664676807. The next prime is 12664676887. The reversal of 12664676808 is 80867646621.

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 (12664676807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14743083 + ... + 14743941.

It is an arithmetic number, because the mean of its divisors is an integer number (161250000).

Almost surely, 212664676808 is an apocalyptic number.

12664676808 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 12664676808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20640000000).

12664676808 is an abundant number, since it is smaller than the sum of its proper divisors (28615323192).

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

12664676808 is a wasteful number, since it uses less digits than its factorization.

12664676808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1070 counting only the distinct ones).

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

The spelling of 12664676808 in words is "twelve billion, six hundred sixty-four million, six hundred seventy-six thousand, eight hundred eight".