Search a number
-
+
34774520257 is a prime number
BaseRepresentation
bin100000011000101110…
…010001000111000001
310022202111101122212201
4200120232101013001
51032204234122012
623550350353201
72340513354661
oct403056210701
9108674348781
1034774520257
1113825345844
1268a5abb801
1333825b8009
14197c5b41a1
15d87d91857
hex818b911c1

34774520257 has 2 divisors, whose sum is σ = 34774520258. Its totient is φ = 34774520256.

The previous prime is 34774520237. The next prime is 34774520269. The reversal of 34774520257 is 75202547743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30570424336 + 4204095921 = 174844^2 + 64839^2 .

It is a cyclic number.

It is not a de Polignac number, because 34774520257 - 231 = 32627036609 is a prime.

It is not a weakly prime, because it can be changed into another prime (34774520237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17387260128 + 17387260129.

It is an arithmetic number, because the mean of its divisors is an integer number (17387260129).

Almost surely, 234774520257 is an apocalyptic number.

It is an amenable number.

34774520257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34774520257 is an equidigital number, since it uses as much as digits as its factorization.

34774520257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1646400, while the sum is 46.

The spelling of 34774520257 in words is "thirty-four billion, seven hundred seventy-four million, five hundred twenty thousand, two hundred fifty-seven".