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264440245246049 is a prime number
BaseRepresentation
bin111100001000000111001010…
…111000011101100001100001
31021200022020111100210222022002
4330020013022320131201201
5234130042110240333144
62334230101021253345
7106462114536313265
oct7410071270354141
91250266440728262
10264440245246049
1177293529553444
12257aa35b104255
13b4727ba093292
144942d9482a0a5
152088a6e7c314e
hexf081cae1d861

264440245246049 has 2 divisors, whose sum is σ = 264440245246050. Its totient is φ = 264440245246048.

The previous prime is 264440245245971. The next prime is 264440245246103. The reversal of 264440245246049 is 940642542044462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138480363701824 + 125959881544225 = 11767768^2 + 11223185^2 .

It is a cyclic number.

It is not a de Polignac number, because 264440245246049 - 224 = 264440228468833 is a prime.

It is a super-2 number, since 2×2644402452460492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264440245245985 and 264440245246003.

It is not a weakly prime, because it can be changed into another prime (264440245246649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132220122623024 + 132220122623025.

It is an arithmetic number, because the mean of its divisors is an integer number (132220122623025).

Almost surely, 2264440245246049 is an apocalyptic number.

It is an amenable number.

264440245246049 is a deficient number, since it is larger than the sum of its proper divisors (1).

264440245246049 is an equidigital number, since it uses as much as digits as its factorization.

264440245246049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53084160, while the sum is 56.

The spelling of 264440245246049 in words is "two hundred sixty-four trillion, four hundred forty billion, two hundred forty-five million, two hundred forty-six thousand, forty-nine".