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82766114009 is a prime number
BaseRepresentation
bin100110100010100111…
…1101010110011011001
321220122010001020001222
41031011033222303121
52324001111122014
6102004445021425
75660010234635
oct1150517526331
9256563036058
1082766114009
113211234a517
121405a254875
137a60229377
14401229bdc5
15224626308e
hex13453eacd9

82766114009 has 2 divisors, whose sum is σ = 82766114010. Its totient is φ = 82766114008.

The previous prime is 82766113907. The next prime is 82766114021. The reversal of 82766114009 is 90041166728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53235409984 + 29530704025 = 230728^2 + 171845^2 .

It is a cyclic number.

It is not a de Polignac number, because 82766114009 - 228 = 82497678553 is a prime.

It is not a weakly prime, because it can be changed into another prime (82766114089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41383057004 + 41383057005.

It is an arithmetic number, because the mean of its divisors is an integer number (41383057005).

Almost surely, 282766114009 is an apocalyptic number.

It is an amenable number.

82766114009 is a deficient number, since it is larger than the sum of its proper divisors (1).

82766114009 is an equidigital number, since it uses as much as digits as its factorization.

82766114009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 82766114009 in words is "eighty-two billion, seven hundred sixty-six million, one hundred fourteen thousand, nine".