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82527946769 is a prime number
BaseRepresentation
bin100110011011100001…
…1001000100000010001
321220000111220002001002
41030313003020200101
52323004123244034
6101525100151345
75651055654542
oct1146703104021
9256014802032
1082527946769
1131aaa968994
1213bb2538555
137a22a9a7c8
143dcc7c24c9
1522303b9e7e
hex13370c8811

82527946769 has 2 divisors, whose sum is σ = 82527946770. Its totient is φ = 82527946768.

The previous prime is 82527946759. The next prime is 82527946771. The reversal of 82527946769 is 96764972528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74480959744 + 8046987025 = 272912^2 + 89705^2 .

It is a cyclic number.

It is not a de Polignac number, because 82527946769 - 236 = 13808470033 is a prime.

It is a super-2 number, since 2×825279467692 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 82527946771, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82527946759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41263973384 + 41263973385.

It is an arithmetic number, because the mean of its divisors is an integer number (41263973385).

Almost surely, 282527946769 is an apocalyptic number.

It is an amenable number.

82527946769 is a deficient number, since it is larger than the sum of its proper divisors (1).

82527946769 is an equidigital number, since it uses as much as digits as its factorization.

82527946769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 91445760, while the sum is 65.

The spelling of 82527946769 in words is "eighty-two billion, five hundred twenty-seven million, nine hundred forty-six thousand, seven hundred sixty-nine".