Search a number
-
+
264403413335669 is a prime number
BaseRepresentation
bin111100000111100100110111…
…100001110111111001110101
31021200011201102111002001202012
4330013210313201313321311
5234123441142303220134
62334201130133454005
7106456342031246336
oct7407446741677165
91250151374061665
10264403413335669
1177279948932a93
12257a31a01a1305
13b46c19a488b7a
14494129ccdc28d
152087b15ed46ce
hexf07937877e75

264403413335669 has 2 divisors, whose sum is σ = 264403413335670. Its totient is φ = 264403413335668.

The previous prime is 264403413335647. The next prime is 264403413335671. The reversal of 264403413335669 is 966533314304462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246406388891569 + 17997024444100 = 15697337^2 + 4242290^2 .

It is a cyclic number.

It is not a de Polignac number, because 264403413335669 - 212 = 264403413331573 is a prime.

It is a super-2 number, since 2×2644034133356692 (a number of 30 digits) contains 22 as substring.

Together with 264403413335671, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264403413325669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132201706667834 + 132201706667835.

It is an arithmetic number, because the mean of its divisors is an integer number (132201706667835).

Almost surely, 2264403413335669 is an apocalyptic number.

It is an amenable number.

264403413335669 is a deficient number, since it is larger than the sum of its proper divisors (1).

264403413335669 is an equidigital number, since it uses as much as digits as its factorization.

264403413335669 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100776960, while the sum is 59.

The spelling of 264403413335669 in words is "two hundred sixty-four trillion, four hundred three billion, four hundred thirteen million, three hundred thirty-five thousand, six hundred sixty-nine".