Search a number
-
+
13348152673 is a prime number
BaseRepresentation
bin11000110111001110…
…01010010101100001
31021110020220102010221
430123213022111201
5204314111341143
610044305123041
7651531266002
oct143347122541
937406812127
1013348152673
11572a758739
122706329481
13134955c0bb
14908ab51a9
15531cc32ed
hex31b9ca561

13348152673 has 2 divisors, whose sum is σ = 13348152674. Its totient is φ = 13348152672.

The previous prime is 13348152589. The next prime is 13348152689. The reversal of 13348152673 is 37625184331.

13348152673 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., 7452523584 + 5895629089 = 86328^2 + 76783^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13348152673 is a prime.

It is not a weakly prime, because it can be changed into another prime (13348152173) 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, 6674076336 + 6674076337.

It is an arithmetic number, because the mean of its divisors is an integer number (6674076337).

Almost surely, 213348152673 is an apocalyptic number.

It is an amenable number.

13348152673 is a deficient number, since it is larger than the sum of its proper divisors (1).

13348152673 is an equidigital number, since it uses as much as digits as its factorization.

13348152673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 43.

The spelling of 13348152673 in words is "thirteen billion, three hundred forty-eight million, one hundred fifty-two thousand, six hundred seventy-three".