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12623688013 is a prime number
BaseRepresentation
bin10111100000110111…
…00011000101001101
31012120202200210110111
423300123203011031
5201323131004023
65444345240021
7624553402066
oct136033430515
935522623414
1012623688013
115398819712
122543793011
1312624353a1
1487a7ad56d
154dd3bc00d
hex2f06e314d

12623688013 has 2 divisors, whose sum is σ = 12623688014. Its totient is φ = 12623688012.

The previous prime is 12623687983. The next prime is 12623688059. The reversal of 12623688013 is 31088632621.

12623688013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12254932804 + 368755209 = 110702^2 + 19203^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12623688013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12623608013) 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 as a sum of consecutive naturals, namely, 6311844006 + 6311844007.

It is an arithmetic number, because the mean of its divisors is an integer number (6311844007).

Almost surely, 212623688013 is an apocalyptic number.

It is an amenable number.

12623688013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12623688013 is an equidigital number, since it uses as much as digits as its factorization.

12623688013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 12623688013 in words is "twelve billion, six hundred twenty-three million, six hundred eighty-eight thousand, thirteen".