Search a number
-
+
82711000793 is a prime number
BaseRepresentation
bin100110100000111110…
…1011011011011011001
321220111021100011221202
41031001331123123121
52323343004011133
6101555155443545
75655440623001
oct1150175333331
9256437304852
1082711000793
1132094227103
12140438b65b5
137a519a07b5
144008c33001
1522414c82e8
hex1341f5b6d9

82711000793 has 2 divisors, whose sum is σ = 82711000794. Its totient is φ = 82711000792.

The previous prime is 82711000763. The next prime is 82711000807. The reversal of 82711000793 is 39700011728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55456953049 + 27254047744 = 235493^2 + 165088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82711000793 is a prime.

It is a super-2 number, since 2×827110007932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82711000733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41355500396 + 41355500397.

It is an arithmetic number, because the mean of its divisors is an integer number (41355500397).

Almost surely, 282711000793 is an apocalyptic number.

It is an amenable number.

82711000793 is a deficient number, since it is larger than the sum of its proper divisors (1).

82711000793 is an equidigital number, since it uses as much as digits as its factorization.

82711000793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 82711000793 in words is "eighty-two billion, seven hundred eleven million, seven hundred ninety-three", and thus it is an aban number.