Search a number
-
+
6807075047 is a prime number
BaseRepresentation
bin1100101011011101…
…11011100011100111
3122120101201020111122
412111232323203213
5102420102400142
63043243124155
7330454116563
oct62556734347
918511636448
106807075047
112983464263
12139b81365b
13846358076
1448809a6a3
1529c90b1d2
hex195bbb8e7

6807075047 has 2 divisors, whose sum is σ = 6807075048. Its totient is φ = 6807075046.

The previous prime is 6807075013. The next prime is 6807075049. The reversal of 6807075047 is 7405707086.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 6807075047 - 216 = 6807009511 is a prime.

It is a super-6 number, since 6×68070750476 (a number of 60 digits) contains 666666 as substring. Note that it is a super-d number also for d = 3.

Together with 6807075049, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 6807074989 and 6807075007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6807075049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3403537523 + 3403537524.

It is an arithmetic number, because the mean of its divisors is an integer number (3403537524).

Almost surely, 26807075047 is an apocalyptic number.

6807075047 is a deficient number, since it is larger than the sum of its proper divisors (1).

6807075047 is an equidigital number, since it uses as much as digits as its factorization.

6807075047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 6807075047 is about 82505.0001333253. Note that the first 3 decimals coincide. The cubic root of 6807075047 is about 1895.1933022436.

The spelling of 6807075047 in words is "six billion, eight hundred seven million, seventy-five thousand, forty-seven".