Search a number
-
+
82667677017097 is a prime number
BaseRepresentation
bin10010110010111110010001…
…100001011110010000001001
3101211200221201112210121111001
4102302332101201132100021
541313411400304021342
6451453001225135001
723261354046460234
oct2262762141362011
9354627645717431
1082667677017097
112438218a597107
12933167192a461
1337186b413a223
14165b1cb9ac41b
15985598e838b7
hex4b2f9185e409

82667677017097 has 2 divisors, whose sum is σ = 82667677017098. Its totient is φ = 82667677017096.

The previous prime is 82667677017049. The next prime is 82667677017179. The reversal of 82667677017097 is 79071077676628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63540603367696 + 19127073649401 = 7971236^2 + 4373451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82667677017097 is a prime.

It is not a weakly prime, because it can be changed into another prime (82667677011097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41333838508548 + 41333838508549.

It is an arithmetic number, because the mean of its divisors is an integer number (41333838508549).

Almost surely, 282667677017097 is an apocalyptic number.

It is an amenable number.

82667677017097 is a deficient number, since it is larger than the sum of its proper divisors (1).

82667677017097 is an equidigital number, since it uses as much as digits as its factorization.

82667677017097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 522764928, while the sum is 73.

The spelling of 82667677017097 in words is "eighty-two trillion, six hundred sixty-seven billion, six hundred seventy-seven million, seventeen thousand, ninety-seven".