Search a number
-
+
34381700737 is a prime number
BaseRepresentation
bin100000000001010011…
…110001111010000001
310021202010020100210121
4200001103301322001
51030403203410422
623443355100241
72325003430366
oct400123617201
9107663210717
1034381700737
111364363470a
1267b6441681
13331c0bbb27
14194235c46d
15d6364a8c7
hex8014f1e81

34381700737 has 2 divisors, whose sum is σ = 34381700738. Its totient is φ = 34381700736.

The previous prime is 34381700693. The next prime is 34381700777. The reversal of 34381700737 is 73700718343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34361666161 + 20034576 = 185369^2 + 4476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34381700737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34381700693 and 34381700702.

It is not a weakly prime, because it can be changed into another prime (34381700777) 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, 17190850368 + 17190850369.

It is an arithmetic number, because the mean of its divisors is an integer number (17190850369).

Almost surely, 234381700737 is an apocalyptic number.

It is an amenable number.

34381700737 is a deficient number, since it is larger than the sum of its proper divisors (1).

34381700737 is an equidigital number, since it uses as much as digits as its factorization.

34381700737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 34381700737 in words is "thirty-four billion, three hundred eighty-one million, seven hundred thousand, seven hundred thirty-seven".