Search a number
-
+
8146802491781 is a prime number
BaseRepresentation
bin111011010001101001101…
…0001001100000110000101
31001211211022200011200001112
41312203103101030012011
52031434122414214111
625154331150534405
71500405234416132
oct166432321140605
931754280150045
108146802491781
112661048690108
12ab6aa3807405
13471317898005
142024434d3589
15e1db4e89e8b
hex768d344c185

8146802491781 has 2 divisors, whose sum is σ = 8146802491782. Its totient is φ = 8146802491780.

The previous prime is 8146802491777. The next prime is 8146802491783. The reversal of 8146802491781 is 1871942086418.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8146263555556 + 538936225 = 2854166^2 + 23215^2 .

It is a cyclic number.

It is not a de Polignac number, because 8146802491781 - 22 = 8146802491777 is a prime.

It is a super-2 number, since 2×81468024917812 (a number of 27 digits) contains 22 as substring.

Together with 8146802491783, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8146802491781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8146802491783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4073401245890 + 4073401245891.

It is an arithmetic number, because the mean of its divisors is an integer number (4073401245891).

Almost surely, 28146802491781 is an apocalyptic number.

It is an amenable number.

8146802491781 is a deficient number, since it is larger than the sum of its proper divisors (1).

8146802491781 is an equidigital number, since it uses as much as digits as its factorization.

8146802491781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6193152, while the sum is 59.

The spelling of 8146802491781 in words is "eight trillion, one hundred forty-six billion, eight hundred two million, four hundred ninety-one thousand, seven hundred eighty-one".