Search a number
-
+
10545240689 is a prime number
BaseRepresentation
bin10011101001000101…
…11001101001110001
31000012220201201201222
421310202321221301
5133044040200224
64502221034425
7522215031644
oct116442715161
930186651658
1010545240689
114521571455
1220636b5a15
13cc09525b9
14720733a5b
1541abb0b5e
hex2748b9a71

10545240689 has 2 divisors, whose sum is σ = 10545240690. Its totient is φ = 10545240688.

The previous prime is 10545240679. The next prime is 10545240691. The reversal of 10545240689 is 98604254501.

10545240689 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., 7092503089 + 3452737600 = 84217^2 + 58760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10545240689 is a prime.

It is a super-2 number, since 2×105452406892 (a number of 21 digits) contains 22 as substring.

Together with 10545240691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10545240619) 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, 5272620344 + 5272620345.

It is an arithmetic number, because the mean of its divisors is an integer number (5272620345).

Almost surely, 210545240689 is an apocalyptic number.

It is an amenable number.

10545240689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10545240689 is an equidigital number, since it uses as much as digits as its factorization.

10545240689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 10545240689 in words is "ten billion, five hundred forty-five million, two hundred forty thousand, six hundred eighty-nine".