Search a number
-
+
10456714777 is a prime number
BaseRepresentation
bin10011011110100010…
…01100111000011001
3222222202011011000111
421233101030320121
5132403404333102
64445335404321
7520061415625
oct115721147031
928882134014
1010456714777
1144865a7643
122039b236a1
13ca84c85c2
14712a8c185
15413025cd7
hex26f44ce19

10456714777 has 2 divisors, whose sum is σ = 10456714778. Its totient is φ = 10456714776.

The previous prime is 10456714769. The next prime is 10456714789. The reversal of 10456714777 is 77741765401.

It is a happy number.

10456714777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8248090761 + 2208624016 = 90819^2 + 46996^2 .

It is a cyclic number.

It is not a de Polignac number, because 10456714777 - 23 = 10456714769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10456714777.

It is not a weakly prime, because it can be changed into another prime (10456724777) 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, 5228357388 + 5228357389.

It is an arithmetic number, because the mean of its divisors is an integer number (5228357389).

Almost surely, 210456714777 is an apocalyptic number.

It is an amenable number.

10456714777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10456714777 is an equidigital number, since it uses as much as digits as its factorization.

10456714777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152480, while the sum is 49.

The spelling of 10456714777 in words is "ten billion, four hundred fifty-six million, seven hundred fourteen thousand, seven hundred seventy-seven".