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12650680224 = 2533713212377
BaseRepresentation
bin10111100100000101…
…00000111110100000
31012122122111010211000
423302002200332200
5201402033231344
65451151552000
7625332002430
oct136202407640
935578433730
1012650680224
115401a85326
12255082b600
131267bc6300
148801d82c0
154e094ea69
hex2f20a0fa0

12650680224 has 288 divisors, whose sum is σ = 45665907840. Its totient is φ = 3336173568.

The previous prime is 12650680199. The next prime is 12650680243. The reversal of 12650680224 is 42208605621.

It is a happy number.

12650680224 is a `hidden beast` number, since 126 + 506 + 8 + 0 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015924 + ... + 1028300.

It is an arithmetic number, because the mean of its divisors is an integer number (158562180).

Almost surely, 212650680224 is an apocalyptic number.

12650680224 is a gapful number since it is divisible by the number (14) 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 12650680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22832953920).

12650680224 is an abundant number, since it is smaller than the sum of its proper divisors (33015227616).

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

12650680224 is a wasteful number, since it uses less digits than its factorization.

12650680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12429 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12650680224 in words is "twelve billion, six hundred fifty million, six hundred eighty thousand, two hundred twenty-four".