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13006191689 is a prime number
BaseRepresentation
bin11000001110011101…
…01011110001001001
31020120102102222212022
430013032223301021
5203114041113224
65550331454225
7640206543131
oct140716536111
936512388768
1013006191689
115574724357
12262b8b7375
1312c375c01a
148b54dbac1
15511c7665e
hex3073abc49

13006191689 has 2 divisors, whose sum is σ = 13006191690. Its totient is φ = 13006191688.

The previous prime is 13006191661. The next prime is 13006191697. The reversal of 13006191689 is 98619160031.

It is a happy number.

13006191689 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 can be written as a sum of positive squares in only one way, i.e., 8184278089 + 4821913600 = 90467^2 + 69440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13006191689 is a prime.

It is a super-2 number, since 2×130061916892 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13006191659) 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, 6503095844 + 6503095845.

It is an arithmetic number, because the mean of its divisors is an integer number (6503095845).

Almost surely, 213006191689 is an apocalyptic number.

It is an amenable number.

13006191689 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006191689 is an equidigital number, since it uses as much as digits as its factorization.

13006191689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 44.

The spelling of 13006191689 in words is "thirteen billion, six million, one hundred ninety-one thousand, six hundred eighty-nine".