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264406223012461 is a prime number
BaseRepresentation
bin111100000111100111011110…
…111111111100001001101101
31021200011222200021222102201121
4330013213132333330021231
5234124012421042344321
62334202313022540541
7106456501456150015
oct7407473677741155
91250158607872647
10264406223012461
117728005a91a822
12257a3845137751
13b46c5275c380a
144941488120c45
152087c2c9d1441
hexf079deffc26d

264406223012461 has 2 divisors, whose sum is σ = 264406223012462. Its totient is φ = 264406223012460.

The previous prime is 264406223012453. The next prime is 264406223012473. The reversal of 264406223012461 is 164210322604462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256134737724100 + 8271485288361 = 16004210^2 + 2876019^2 .

It is a cyclic number.

It is not a de Polignac number, because 264406223012461 - 23 = 264406223012453 is a prime.

It is a super-3 number, since 3×2644062230124613 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264406223012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132203111506230 + 132203111506231.

It is an arithmetic number, because the mean of its divisors is an integer number (132203111506231).

Almost surely, 2264406223012461 is an apocalyptic number.

It is an amenable number.

264406223012461 is a deficient number, since it is larger than the sum of its proper divisors (1).

264406223012461 is an equidigital number, since it uses as much as digits as its factorization.

264406223012461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 264406223012461 in words is "two hundred sixty-four trillion, four hundred six billion, two hundred twenty-three million, twelve thousand, four hundred sixty-one".