Search a number
-
+
2641187917 is a prime number
BaseRepresentation
bin1001110101101101…
…0101010001001101
320211001212020200201
42131123111101031
520402121003132
61114025453501
7122310504214
oct23533252115
96731766621
102641187917
111135977635
12618641291
133312643b4
141b0ac407b
15106d192e7
hex9d6d544d

2641187917 has 2 divisors, whose sum is σ = 2641187918. Its totient is φ = 2641187916.

The previous prime is 2641187873. The next prime is 2641187953. The reversal of 2641187917 is 7197811462.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2276148681 + 365039236 = 47709^2 + 19106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2641187917 is a prime.

It is a super-6 number, since 6×26411879176 (a number of 58 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2641187117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1320593958 + 1320593959.

It is an arithmetic number, because the mean of its divisors is an integer number (1320593959).

Almost surely, 22641187917 is an apocalyptic number.

It is an amenable number.

2641187917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2641187917 is an equidigital number, since it uses as much as digits as its factorization.

2641187917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 46.

The square root of 2641187917 is about 51392.4889161831. The cubic root of 2641187917 is about 1382.2919131304.

The spelling of 2641187917 in words is "two billion, six hundred forty-one million, one hundred eighty-seven thousand, nine hundred seventeen".