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12659099904 = 2834111923127
BaseRepresentation
bin10111100101000101…
…01000100100000000
31012200020022220110000
423302202220210000
5201411212144104
65452052240000
7625463400543
oct136242504400
935606286400
1012659099904
115406806140
122553610000
131269883779
1488138a85a
154e1564639
hex2f28a8900

12659099904 has 720 divisors, whose sum is σ = 45586759680. Its totient is φ = 3448811520.

The previous prime is 12659099903. The next prime is 12659099917. The reversal of 12659099904 is 40999095621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12659099903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99677889 + ... + 99678015.

It is an arithmetic number, because the mean of its divisors is an integer number (63314944).

Almost surely, 212659099904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12659099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22793379840).

12659099904 is an abundant number, since it is smaller than the sum of its proper divisors (32927659776).

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

12659099904 is a wasteful number, since it uses less digits than its factorization.

12659099904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 12659099904 in words is "twelve billion, six hundred fifty-nine million, ninety-nine thousand, nine hundred four".