Search a number
-
+
34473768673 is a prime number
BaseRepresentation
bin100000000110110010…
…111111011011100001
310021222112110220021011
4200012302333123201
51031100241044143
623500444300521
72330202125131
oct400662773341
9107875426234
1034473768673
11136905a8713
126821241741
1333351b60b6
141950686ac1
15d6b784e9d
hex806cbf6e1

34473768673 has 2 divisors, whose sum is σ = 34473768674. Its totient is φ = 34473768672.

The previous prime is 34473768629. The next prime is 34473768691. The reversal of 34473768673 is 37686737443.

34473768673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23973257889 + 10500510784 = 154833^2 + 102472^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34473768673 is a prime.

It is not a weakly prime, because it can be changed into another prime (34473798673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17236884336 + 17236884337.

It is an arithmetic number, because the mean of its divisors is an integer number (17236884337).

Almost surely, 234473768673 is an apocalyptic number.

It is an amenable number.

34473768673 is a deficient number, since it is larger than the sum of its proper divisors (1).

34473768673 is an equidigital number, since it uses as much as digits as its factorization.

34473768673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42674688, while the sum is 58.

The spelling of 34473768673 in words is "thirty-four billion, four hundred seventy-three million, seven hundred sixty-eight thousand, six hundred seventy-three".