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13008645373 is a prime number
BaseRepresentation
bin11000001110110000…
…00010110011111101
31020120121001122200111
430013120002303331
5203120203122443
65550500230021
7640236442543
oct140730026375
936517048614
1013008645373
11557604a899
12263069b311
1312c410aac9
148b5979d93
155120ad69d
hex307602cfd

13008645373 has 2 divisors, whose sum is σ = 13008645374. Its totient is φ = 13008645372.

The previous prime is 13008645359. The next prime is 13008645437. The reversal of 13008645373 is 37354680031.

13008645373 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., 9029180484 + 3979464889 = 95022^2 + 63083^2 .

It is a cyclic number.

It is not a de Polignac number, because 13008645373 - 213 = 13008637181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13008645343) 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, 6504322686 + 6504322687.

It is an arithmetic number, because the mean of its divisors is an integer number (6504322687).

Almost surely, 213008645373 is an apocalyptic number.

It is an amenable number.

13008645373 is a deficient number, since it is larger than the sum of its proper divisors (1).

13008645373 is an equidigital number, since it uses as much as digits as its factorization.

13008645373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 13008645373 in words is "thirteen billion, eight million, six hundred forty-five thousand, three hundred seventy-three".