Search a number
-
+
42806213137 is a prime number
BaseRepresentation
bin100111110111011100…
…101111101000010001
311002111020102221020101
4213313130233220101
51200131342310022
631355341412401
73043530544132
oct476734575021
9132436387211
1042806213137
1117176a9a556
12836786a101
1340625767cc
14210116bc89
1511a804c627
hex9f772fa11

42806213137 has 2 divisors, whose sum is σ = 42806213138. Its totient is φ = 42806213136.

The previous prime is 42806213119. The next prime is 42806213159. The reversal of 42806213137 is 73131260824.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37679080321 + 5127132816 = 194111^2 + 71604^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42806213137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42806213096 and 42806213105.

It is not a weakly prime, because it can be changed into another prime (42806213117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21403106568 + 21403106569.

It is an arithmetic number, because the mean of its divisors is an integer number (21403106569).

Almost surely, 242806213137 is an apocalyptic number.

It is an amenable number.

42806213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

42806213137 is an equidigital number, since it uses as much as digits as its factorization.

42806213137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 42806213137 in words is "forty-two billion, eight hundred six million, two hundred thirteen thousand, one hundred thirty-seven".