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82089127933 is a prime number
BaseRepresentation
bin100110001110011100…
…1001010111111111101
321211212221011202202121
41030130321022333331
52321104304043213
6101413342522541
75634150034411
oct1143471127775
9254787152677
1082089127933
11318a519989a
1213aab596451
137982bb71a7
143d8a3d4d41
152206ad988d
hex131ce4affd

82089127933 has 2 divisors, whose sum is σ = 82089127934. Its totient is φ = 82089127932.

The previous prime is 82089127921. The next prime is 82089127951. The reversal of 82089127933 is 33972198028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63034638489 + 19054489444 = 251067^2 + 138038^2 .

It is a cyclic number.

It is not a de Polignac number, because 82089127933 - 229 = 81552257021 is a prime.

It is a super-3 number, since 3×820891279333 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82089127333) 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, 41044563966 + 41044563967.

It is an arithmetic number, because the mean of its divisors is an integer number (41044563967).

Almost surely, 282089127933 is an apocalyptic number.

It is an amenable number.

82089127933 is a deficient number, since it is larger than the sum of its proper divisors (1).

82089127933 is an equidigital number, since it uses as much as digits as its factorization.

82089127933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 82089127933 in words is "eighty-two billion, eighty-nine million, one hundred twenty-seven thousand, nine hundred thirty-three".