Search a number
-
+
409091760013 is a prime number
BaseRepresentation
bin1011111001111111100…
…01001101111110001101
31110002221022022122002011
411330333301031332031
523200304442310023
6511533440101221
741361450404656
oct5747761157615
91402838278064
10409091760013
111485496a7252
1267350004811
132c7671086b1
1415b2b86252d
15a994b9d50d
hex5f3fc4df8d

409091760013 has 2 divisors, whose sum is σ = 409091760014. Its totient is φ = 409091760012.

The previous prime is 409091759983. The next prime is 409091760019. The reversal of 409091760013 is 310067190904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286869502404 + 122222257609 = 535602^2 + 349603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-409091760013 is a prime.

It is a super-2 number, since 2×4090917600132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409091760019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204545880006 + 204545880007.

It is an arithmetic number, because the mean of its divisors is an integer number (204545880007).

Almost surely, 2409091760013 is an apocalyptic number.

It is an amenable number.

409091760013 is a deficient number, since it is larger than the sum of its proper divisors (1).

409091760013 is an equidigital number, since it uses as much as digits as its factorization.

409091760013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 409091760013 in words is "four hundred nine billion, ninety-one million, seven hundred sixty thousand, thirteen".