Search a number
-
+
264832955297 is a prime number
BaseRepresentation
bin1111011010100101000…
…1100011001110100001
3221022120122221001112222
43312221101203032201
513314334214032142
6321355041200425
725063543656251
oct3665121431641
9838518831488
10264832955297
11a2351332099
12433b0030115
131bc8711bb11
14cb64791961
156d50133bd2
hex3da94633a1

264832955297 has 2 divisors, whose sum is σ = 264832955298. Its totient is φ = 264832955296.

The previous prime is 264832955269. The next prime is 264832955333. The reversal of 264832955297 is 792559238462.

264832955297 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., 136049584801 + 128783370496 = 368849^2 + 358864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264832955297 is a prime.

It is a super-2 number, since 2×2648329552972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (264832951297) 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, 132416477648 + 132416477649.

It is an arithmetic number, because the mean of its divisors is an integer number (132416477649).

Almost surely, 2264832955297 is an apocalyptic number.

It is an amenable number.

264832955297 is a deficient number, since it is larger than the sum of its proper divisors (1).

264832955297 is an equidigital number, since it uses as much as digits as its factorization.

264832955297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65318400, while the sum is 62.

The spelling of 264832955297 in words is "two hundred sixty-four billion, eight hundred thirty-two million, nine hundred fifty-five thousand, two hundred ninety-seven".