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2163761441 is a prime number
BaseRepresentation
bin1000000011111000…
…0110000100100001
312120210111110200122
42000332012010201
513412410331231
6554412530025
7104422445252
oct20076060441
95523443618
102163761441
11a10428aa6
12504780915
13286383c1a
14167526b29
15c9e5e77b
hex80f86121

2163761441 has 2 divisors, whose sum is σ = 2163761442. Its totient is φ = 2163761440.

The previous prime is 2163761417. The next prime is 2163761459. The reversal of 2163761441 is 1441673612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2034370816 + 129390625 = 45104^2 + 11375^2 .

It is a cyclic number.

It is not a de Polignac number, because 2163761441 - 218 = 2163499297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2163761471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1081880720 + 1081880721.

It is an arithmetic number, because the mean of its divisors is an integer number (1081880721).

Almost surely, 22163761441 is an apocalyptic number.

It is an amenable number.

2163761441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2163761441 is an equidigital number, since it uses as much as digits as its factorization.

2163761441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 2163761441 is about 46516.2492146562. The cubic root of 2163761441 is about 1293.4107287900.

The spelling of 2163761441 in words is "two billion, one hundred sixty-three million, seven hundred sixty-one thousand, four hundred forty-one".