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83137475093 is a prime number
BaseRepresentation
bin100110101101101100…
…0010011001000010101
321221120222211022201012
41031123120103020111
52330231143200333
6102105352342005
76002136610211
oct1153330231025
9257528738635
1083137475093
1132292a34602
12141426a4905
137abc15135a
144049729941
152268b6ae48
hex135b613215

83137475093 has 2 divisors, whose sum is σ = 83137475094. Its totient is φ = 83137475092.

The previous prime is 83137475059. The next prime is 83137475101. The reversal of 83137475093 is 39057473138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53600584324 + 29536890769 = 231518^2 + 171863^2 .

It is a cyclic number.

It is not a de Polignac number, because 83137475093 - 220 = 83136426517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83137475893) 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, 41568737546 + 41568737547.

It is an arithmetic number, because the mean of its divisors is an integer number (41568737547).

Almost surely, 283137475093 is an apocalyptic number.

It is an amenable number.

83137475093 is a deficient number, since it is larger than the sum of its proper divisors (1).

83137475093 is an equidigital number, since it uses as much as digits as its factorization.

83137475093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 83137475093 in words is "eighty-three billion, one hundred thirty-seven million, four hundred seventy-five thousand, ninety-three".