Search a number
-
+
82763327162897 is a prime number
BaseRepresentation
bin10010110100010111010110…
…101101110100101000010001
3101212001002121120102110112122
4102310113112231310220101
541321443243223203042
6452004540403504025
723301311254343123
oct2264272655645021
9355032546373478
1082763327162897
1124409803603387
129348106988015
1337247186c3534
141661aa3049213
15987ce638c7d2
hex4b45d6b74a11

82763327162897 has 2 divisors, whose sum is σ = 82763327162898. Its totient is φ = 82763327162896.

The previous prime is 82763327162827. The next prime is 82763327162927. The reversal of 82763327162897 is 79826172336728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53455926558736 + 29307400604161 = 7311356^2 + 5413631^2 .

It is a cyclic number.

It is not a de Polignac number, because 82763327162897 - 212 = 82763327158801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82763327162897.

It is not a weakly prime, because it can be changed into another prime (82763327162827) 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, 41381663581448 + 41381663581449.

It is an arithmetic number, because the mean of its divisors is an integer number (41381663581449).

Almost surely, 282763327162897 is an apocalyptic number.

It is an amenable number.

82763327162897 is a deficient number, since it is larger than the sum of its proper divisors (1).

82763327162897 is an equidigital number, since it uses as much as digits as its factorization.

82763327162897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 512096256, while the sum is 71.

The spelling of 82763327162897 in words is "eighty-two trillion, seven hundred sixty-three billion, three hundred twenty-seven million, one hundred sixty-two thousand, eight hundred ninety-seven".