Search a number
-
+
42779976713 is a prime number
BaseRepresentation
bin100111110101111000…
…101010010000001001
311002102102001222121222
4213311320222100021
51200103133223323
631353003211425
73043061542115
oct476570522011
9132372058558
1042779976713
11171631aa761
12835ab16b75
134059cbb8b6
1420db89c745
1511a5ab89c8
hex9f5e2a409

42779976713 has 2 divisors, whose sum is σ = 42779976714. Its totient is φ = 42779976712.

The previous prime is 42779976703. The next prime is 42779976721. The reversal of 42779976713 is 31767997724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28616120569 + 14163856144 = 169163^2 + 119012^2 .

It is a cyclic number.

It is not a de Polignac number, because 42779976713 - 28 = 42779976457 is a prime.

It is a super-3 number, since 3×427799767133 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (42779976703) 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, 21389988356 + 21389988357.

It is an arithmetic number, because the mean of its divisors is an integer number (21389988357).

Almost surely, 242779976713 is an apocalyptic number.

It is an amenable number.

42779976713 is a deficient number, since it is larger than the sum of its proper divisors (1).

42779976713 is an equidigital number, since it uses as much as digits as its factorization.

42779976713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28005264, while the sum is 62.

The spelling of 42779976713 in words is "forty-two billion, seven hundred seventy-nine million, nine hundred seventy-six thousand, seven hundred thirteen".