Search a number
-
+
2149136641 is a prime number
BaseRepresentation
bin1000000000011001…
…0011100100000001
312112202222110020101
42000012103210001
513400134333031
6553131242401
7104154234331
oct20006234401
95482873211
102149136641
11a0314a193
124bb8a9401
132833332b2
141655db0c1
15c8a21361
hex80193901

2149136641 has 2 divisors, whose sum is σ = 2149136642. Its totient is φ = 2149136640.

The previous prime is 2149136599. The next prime is 2149136663. The reversal of 2149136641 is 1466319412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1080108225 + 1069028416 = 32865^2 + 32696^2 .

It is a cyclic number.

It is not a de Polignac number, because 2149136641 - 217 = 2149005569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2149136641.

It is not a weakly prime, because it can be changed into another prime (2149136441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074568320 + 1074568321.

It is an arithmetic number, because the mean of its divisors is an integer number (1074568321).

Almost surely, 22149136641 is an apocalyptic number.

It is an amenable number.

2149136641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2149136641 is an equidigital number, since it uses as much as digits as its factorization.

2149136641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 37.

The square root of 2149136641 is about 46358.7817031466. The cubic root of 2149136641 is about 1290.4900970149.

The spelling of 2149136641 in words is "two billion, one hundred forty-nine million, one hundred thirty-six thousand, six hundred forty-one".