Search a number
-
+
82714084061377 is a prime number
BaseRepresentation
bin10010110011101001011111…
…100110010011000011000001
3101211212101111201211201102211
4102303221133212103003001
541320141421004431002
6451530154201142121
723264616053030356
oct2263513746230301
9354771451751384
1082714084061377
112439a93411236a
12933a66348a941
13371cb9b6c5242
14165d55106462d
159868b31a8dd7
hex4b3a5f9930c1

82714084061377 has 2 divisors, whose sum is σ = 82714084061378. Its totient is φ = 82714084061376.

The previous prime is 82714084061369. The next prime is 82714084061387. The reversal of 82714084061377 is 77316048041728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48783505661361 + 33930578400016 = 6984519^2 + 5824996^2 .

It is a cyclic number.

It is not a de Polignac number, because 82714084061377 - 23 = 82714084061369 is a prime.

It is a super-2 number, since 2×827140840613772 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82714084061387) 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, 41357042030688 + 41357042030689.

It is an arithmetic number, because the mean of its divisors is an integer number (41357042030689).

Almost surely, 282714084061377 is an apocalyptic number.

It is an amenable number.

82714084061377 is a deficient number, since it is larger than the sum of its proper divisors (1).

82714084061377 is an equidigital number, since it uses as much as digits as its factorization.

82714084061377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12644352, while the sum is 58.

The spelling of 82714084061377 in words is "eighty-two trillion, seven hundred fourteen billion, eighty-four million, sixty-one thousand, three hundred seventy-seven".