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13038128639 is a prime number
BaseRepresentation
bin11000010010010001…
…00000110111111111
31020122122112120010022
430021020200313333
5203200230104024
65553432202355
7641045156564
oct141110406777
936578476108
1013038128639
115590758028
12263a5393bb
1312ca261823
148b985286b
1551498435e
hex309220dff

13038128639 has 2 divisors, whose sum is σ = 13038128640. Its totient is φ = 13038128638.

The previous prime is 13038128581. The next prime is 13038128651. The reversal of 13038128639 is 93682183031.

13038128639 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13038128639 - 224 = 13021351423 is a prime.

It is a super-2 number, since 2×130381286392 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13038128639.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13038128539) 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, 6519064319 + 6519064320.

It is an arithmetic number, because the mean of its divisors is an integer number (6519064320).

Almost surely, 213038128639 is an apocalyptic number.

13038128639 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038128639 is an equidigital number, since it uses as much as digits as its factorization.

13038128639 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 13038128639 in words is "thirteen billion, thirty-eight million, one hundred twenty-eight thousand, six hundred thirty-nine".