Search a number
-
+
264844871201 is a prime number
BaseRepresentation
bin1111011010100111111…
…1000000011000100001
3221022121111100110002202
43312221333000120201
513314400241334301
6321400144422545
725064050155431
oct3665177003041
9838544313082
10264844871201
11a2358030749
12433b4017a55
131bc89731751
14cb661b42c1
156d511d966b
hex3da9fc0621

264844871201 has 2 divisors, whose sum is σ = 264844871202. Its totient is φ = 264844871200.

The previous prime is 264844871197. The next prime is 264844871227. The reversal of 264844871201 is 102178448462.

264844871201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167834424976 + 97010446225 = 409676^2 + 311465^2 .

It is a cyclic number.

It is not a de Polignac number, because 264844871201 - 22 = 264844871197 is a prime.

It is not a weakly prime, because it can be changed into another prime (264844871251) 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, 132422435600 + 132422435601.

It is an arithmetic number, because the mean of its divisors is an integer number (132422435601).

Almost surely, 2264844871201 is an apocalyptic number.

It is an amenable number.

264844871201 is a deficient number, since it is larger than the sum of its proper divisors (1).

264844871201 is an equidigital number, since it uses as much as digits as its factorization.

264844871201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 688128, while the sum is 47.

The spelling of 264844871201 in words is "two hundred sixty-four billion, eight hundred forty-four million, eight hundred seventy-one thousand, two hundred one".