Search a number
-
+
13576097009 is a prime number
BaseRepresentation
bin11001010010011001…
…01100110011110001
31022001010211011222202
430221030230303301
5210300440101014
610123050512545
7660266630516
oct145114546361
938033734882
1013576097009
115837397692
12276a735755
13138484b7c7
1492b08d30d
15546cec3de
hex32932ccf1

13576097009 has 2 divisors, whose sum is σ = 13576097010. Its totient is φ = 13576097008.

The previous prime is 13576096979. The next prime is 13576097021. The reversal of 13576097009 is 90079067531.

It is a happy number.

13576097009 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., 12901552225 + 674544784 = 113585^2 + 25972^2 .

It is a cyclic number.

It is not a de Polignac number, because 13576097009 - 28 = 13576096753 is a prime.

It is not a weakly prime, because it can be changed into another prime (13576097309) 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, 6788048504 + 6788048505.

It is an arithmetic number, because the mean of its divisors is an integer number (6788048505).

Almost surely, 213576097009 is an apocalyptic number.

It is an amenable number.

13576097009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13576097009 is an equidigital number, since it uses as much as digits as its factorization.

13576097009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 357210, while the sum is 47.

The spelling of 13576097009 in words is "thirteen billion, five hundred seventy-six million, ninety-seven thousand, nine".