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264161122606813 is a prime number
BaseRepresentation
bin111100000100000011001101…
…111000000101111011011101
31021122022120000211022202111211
4330010003031320011323131
5234111003434341404223
62333453535554344421
7106433003606112625
oct7404031570057335
91248276024282454
10264161122606813
1177196115055303
122576424158b111
13b45239663a1a3
144933676315885
152081684dd8d0d
hexf040cde05edd

264161122606813 has 2 divisors, whose sum is σ = 264161122606814. Its totient is φ = 264161122606812.

The previous prime is 264161122606747. The next prime is 264161122606847. The reversal of 264161122606813 is 318606221161462.

264161122606813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163928127047364 + 100232995559449 = 12803442^2 + 10011643^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264161122606813 is a prime.

It is a super-3 number, since 3×2641611226068133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264161122606313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132080561303406 + 132080561303407.

It is an arithmetic number, because the mean of its divisors is an integer number (132080561303407).

Almost surely, 2264161122606813 is an apocalyptic number.

It is an amenable number.

264161122606813 is a deficient number, since it is larger than the sum of its proper divisors (1).

264161122606813 is an equidigital number, since it uses as much as digits as its factorization.

264161122606813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 264161122606813 in words is "two hundred sixty-four trillion, one hundred sixty-one billion, one hundred twenty-two million, six hundred six thousand, eight hundred thirteen".