Search a number
-
+
73734000761 is a prime number
BaseRepresentation
bin100010010101011100…
…0111001000001111001
321001022122112022222002
41010222320321001321
52202001401011021
653512315310345
75220124444151
oct1045270710171
9231278468862
1073734000761
11292a7a15113
121235944b3b5
136c50c14265
1437d68c7761
151db834150b
hex112ae39079

73734000761 has 2 divisors, whose sum is σ = 73734000762. Its totient is φ = 73734000760.

The previous prime is 73734000731. The next prime is 73734000773. The reversal of 73734000761 is 16700043737.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56998697536 + 16735303225 = 238744^2 + 129365^2 .

It is a cyclic number.

It is not a de Polignac number, because 73734000761 - 210 = 73733999737 is a prime.

It is not a weakly prime, because it can be changed into another prime (73734000731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36867000380 + 36867000381.

It is an arithmetic number, because the mean of its divisors is an integer number (36867000381).

Almost surely, 273734000761 is an apocalyptic number.

It is an amenable number.

73734000761 is a deficient number, since it is larger than the sum of its proper divisors (1).

73734000761 is an equidigital number, since it uses as much as digits as its factorization.

73734000761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74088, while the sum is 38.

The spelling of 73734000761 in words is "seventy-three billion, seven hundred thirty-four million, seven hundred sixty-one", and thus it is an aban number.