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12663048816 = 24351132447
BaseRepresentation
bin10111100101100011…
…01100101001110000
31012200111202112100000
423302301230221300
5201413220030231
65452313030000
7625542065445
oct136261545160
935614675300
1012663048816
115408a63000
1225549b5300
13126a636cc2
14881ad79cc
154e1a946e6
hex2f2c6ca70

12663048816 has 240 divisors, whose sum is σ = 40440411648. Its totient is φ = 3835719360.

The previous prime is 12663048787. The next prime is 12663048823. The reversal of 12663048816 is 61884036621.

12663048816 is a `hidden beast` number, since 1 + 2 + 6 + 630 + 4 + 8 + 8 + 1 + 6 = 666.

12663048816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 5173705 + ... + 5176151.

Almost surely, 212663048816 is an apocalyptic number.

12663048816 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 12663048816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20220205824).

12663048816 is an abundant number, since it is smaller than the sum of its proper divisors (27777362832).

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

12663048816 is an equidigital number, since it uses as much as digits as its factorization.

12663048816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12663048816 in words is "twelve billion, six hundred sixty-three million, forty-eight thousand, eight hundred sixteen".