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83739313033 is a prime number
BaseRepresentation
bin100110111111101000…
…0001000001110001001
322000010221021212011021
41031333100020032021
52332444231004113
6102245212032441
76023065262605
oct1157720101611
9260127255137
1083739313033
1132571728332
1214290162721
137b86a4168c
1440a5630505
1522a18ed48d
hex137f408389

83739313033 has 2 divisors, whose sum is σ = 83739313034. Its totient is φ = 83739313032.

The previous prime is 83739313027. The next prime is 83739313081. The reversal of 83739313033 is 33031393738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52350812809 + 31388500224 = 228803^2 + 177168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83739313033 is a prime.

It is not a weakly prime, because it can be changed into another prime (83739313013) 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, 41869656516 + 41869656517.

It is an arithmetic number, because the mean of its divisors is an integer number (41869656517).

Almost surely, 283739313033 is an apocalyptic number.

It is an amenable number.

83739313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

83739313033 is an equidigital number, since it uses as much as digits as its factorization.

83739313033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 43.

The spelling of 83739313033 in words is "eighty-three billion, seven hundred thirty-nine million, three hundred thirteen thousand, thirty-three".