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12708649296 = 2432737418311
BaseRepresentation
bin10111101010111111…
…01001100101010000
31012210200120021102200
423311133221211100
5202011403234141
65501022243200
7626634510450
oct136537514520
935720507380
1012708649296
115431779352
122568126500
131276c11a35
14887ba7d60
154e5aa0ab6
hex2f57e9950

12708649296 has 240 divisors, whose sum is σ = 42769429248. Its totient is φ = 3446323200.

The previous prime is 12708649279. The next prime is 12708649297. The reversal of 12708649296 is 69294680721.

12708649296 is a `hidden beast` number, since 1 + 2 + 70 + 86 + 492 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12708649297) 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 47 ways as a sum of consecutive naturals, for example, 1524981 + ... + 1533291.

Almost surely, 212708649296 is an apocalyptic number.

12708649296 is a gapful number since it is divisible by the number (16) 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 12708649296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384714624).

12708649296 is an abundant number, since it is smaller than the sum of its proper divisors (30060779952).

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

12708649296 is a wasteful number, since it uses less digits than its factorization.

12708649296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12708649296 in words is "twelve billion, seven hundred eight million, six hundred forty-nine thousand, two hundred ninety-six".