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83740916561 is a prime number
BaseRepresentation
bin100110111111101011…
…0001111101101010001
322000011001022022210012
41031333112033231101
52333000133312221
6102245310244305
76023115021611
oct1157726175521
9260131268705
1083740916561
1132572623065
12142907b6695
137b87183503
1440a592aa41
1522a1b1865b
hex137f58fb51

83740916561 has 2 divisors, whose sum is σ = 83740916562. Its totient is φ = 83740916560.

The previous prime is 83740916537. The next prime is 83740916639. The reversal of 83740916561 is 16561904738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83336142400 + 404774161 = 288680^2 + 20119^2 .

It is a cyclic number.

It is not a de Polignac number, because 83740916561 - 222 = 83736722257 is a prime.

It is a super-2 number, since 2×837409165612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83740916261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41870458280 + 41870458281.

It is an arithmetic number, because the mean of its divisors is an integer number (41870458281).

Almost surely, 283740916561 is an apocalyptic number.

It is an amenable number.

83740916561 is a deficient number, since it is larger than the sum of its proper divisors (1).

83740916561 is an equidigital number, since it uses as much as digits as its factorization.

83740916561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 83740916561 in words is "eighty-three billion, seven hundred forty million, nine hundred sixteen thousand, five hundred sixty-one".