Search a number
-
+
336181054454797 is a prime number
BaseRepresentation
bin100110001110000010100000…
…0010101001011110000001101
31122002022121001201002011112111
41030130011000111023300031
5323030442244420023142
63150555235551504021
7130545164632152016
oct11434050025136015
91562277051064474
10336181054454797
1198132648021652
1231856182b28011
1311577978110536
145d0336d85200d
1528cec92664e17
hex131c14054bc0d

336181054454797 has 2 divisors, whose sum is σ = 336181054454798. Its totient is φ = 336181054454796.

The previous prime is 336181054454723. The next prime is 336181054454821. The reversal of 336181054454797 is 797454450181633.

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., 203661840588196 + 132519213866601 = 14271014^2 + 11511699^2 .

It is a cyclic number.

It is not a de Polignac number, because 336181054454797 - 219 = 336181053930509 is a prime.

It is a super-2 number, since 2×3361810544547972 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (336181054455797) 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, 168090527227398 + 168090527227399.

It is an arithmetic number, because the mean of its divisors is an integer number (168090527227399).

Almost surely, 2336181054454797 is an apocalyptic number.

It is an amenable number.

336181054454797 is a deficient number, since it is larger than the sum of its proper divisors (1).

336181054454797 is an equidigital number, since it uses as much as digits as its factorization.

336181054454797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 304819200, while the sum is 67.

The spelling of 336181054454797 in words is "three hundred thirty-six trillion, one hundred eighty-one billion, fifty-four million, four hundred fifty-four thousand, seven hundred ninety-seven".