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12497966208 = 2732713294111
BaseRepresentation
bin10111010001110111…
…11101010010000000
31012021000010110120100
423220323331102000
5201043434404313
65424054442400
7621465650160
oct135073752200
935230113510
1012497966208
115333859aa2
122509663400
131242386ca0
14867c045a0
154d2336173
hex2e8efd480

12497966208 has 384 divisors, whose sum is σ = 45801100800. Its totient is φ = 3181731840.

The previous prime is 12497966171. The next prime is 12497966209. The reversal of 12497966208 is 80266979421.

12497966208 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 7 + 9 + 6 + 620 + 8 = 666.

12497966208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12497966209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3038073 + ... + 3042183.

It is an arithmetic number, because the mean of its divisors is an integer number (119273700).

Almost surely, 212497966208 is an apocalyptic number.

12497966208 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 12497966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900550400).

12497966208 is an abundant number, since it is smaller than the sum of its proper divisors (33303134592).

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

12497966208 is a wasteful number, since it uses less digits than its factorization.

12497966208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4165 counting only the distinct ones).

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

The spelling of 12497966208 in words is "twelve billion, four hundred ninety-seven million, nine hundred sixty-six thousand, two hundred eight".