Search a number
-
+
2164128047 is a prime number
BaseRepresentation
bin1000000011111101…
…1111100100101111
312120211012002120122
42000333133210233
513413004044142
6554424435155
7104425533134
oct20077374457
95524162518
102164128047
11a10659484
12504918abb
13286481a53
141675c058b
15c9ed31d2
hex80fdf92f

2164128047 has 2 divisors, whose sum is σ = 2164128048. Its totient is φ = 2164128046.

The previous prime is 2164128023. The next prime is 2164128059. The reversal of 2164128047 is 7408214612.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2164128047 - 210 = 2164127023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2164127998 and 2164128016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2164128007) 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, 1082064023 + 1082064024.

It is an arithmetic number, because the mean of its divisors is an integer number (1082064024).

Almost surely, 22164128047 is an apocalyptic number.

2164128047 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164128047 is an equidigital number, since it uses as much as digits as its factorization.

2164128047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2164128047 is about 46520.1896707225. The cubic root of 2164128047 is about 1293.4837721714.

The spelling of 2164128047 in words is "two billion, one hundred sixty-four million, one hundred twenty-eight thousand, forty-seven".