Search a number
-
+
263894460481 is a prime number
BaseRepresentation
bin1111010111000101010…
…1011110100001000001
3221020011020222120200201
43311301111132201001
513310423440213411
6321121554045201
725031356621621
oct3656125364101
9836136876621
10263894460481
11a1a0a5a8043
1243189879801
131bb67867a42
14cab5c94881
156ce7a513c1
hex3d7155e841

263894460481 has 2 divisors, whose sum is σ = 263894460482. Its totient is φ = 263894460480.

The previous prime is 263894460463. The next prime is 263894460493. The reversal of 263894460481 is 184064498362.

263894460481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248760540081 + 15133920400 = 498759^2 + 123020^2 .

It is a cyclic number.

It is not a de Polignac number, because 263894460481 - 211 = 263894458433 is a prime.

It is a super-2 number, since 2×2638944604812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (263894460421) 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, 131947230240 + 131947230241.

It is an arithmetic number, because the mean of its divisors is an integer number (131947230241).

Almost surely, 2263894460481 is an apocalyptic number.

It is an amenable number.

263894460481 is a deficient number, since it is larger than the sum of its proper divisors (1).

263894460481 is an equidigital number, since it uses as much as digits as its factorization.

263894460481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 263894460481 in words is "two hundred sixty-three billion, eight hundred ninety-four million, four hundred sixty thousand, four hundred eighty-one".