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12644253216 = 253273314129
BaseRepresentation
bin10111100011010011…
…11111111000100000
31012122012101121121200
423301221333320200
5201343412100331
65450402121200
7625223244000
oct136151777040
935565347550
1012644253216
1153a9395651
12254a650200
131266785b4a
1487d404000
154e00d05e6
hex2f1a7fe20

12644253216 has 288 divisors, whose sum is σ = 43295616000. Its totient is φ = 3495260160.

The previous prime is 12644253191. The next prime is 12644253241. The reversal of 12644253216 is 61235244621.

12644253216 is a `hidden beast` number, since 1 + 2 + 644 + 2 + 5 + 3 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12644253191) and next prime (12644253241).

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

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

It is an unprimeable number.

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, 3060240 + ... + 3064368.

It is an arithmetic number, because the mean of its divisors is an integer number (150332000).

Almost surely, 212644253216 is an apocalyptic number.

12644253216 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 12644253216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21647808000).

12644253216 is an abundant number, since it is smaller than the sum of its proper divisors (30651362784).

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

12644253216 is a wasteful number, since it uses less digits than its factorization.

12644253216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4172 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 12644253216 its reverse (61235244621), we get a palindrome (73879497837).

The spelling of 12644253216 in words is "twelve billion, six hundred forty-four million, two hundred fifty-three thousand, two hundred sixteen".