Search a number
-
+
4097808613 is a prime number
BaseRepresentation
bin1111010000111111…
…1001100011100101
3101120120202020122101
43310033321203211
531343014333423
61514342132101
7203355540613
oct36417714345
911516666571
104097808613
111813119298
12964421031
13503c78932
142ac3346b3
1518eb457ad
hexf43f98e5

4097808613 has 2 divisors, whose sum is σ = 4097808614. Its totient is φ = 4097808612.

The previous prime is 4097808601. The next prime is 4097808647. The reversal of 4097808613 is 3168087904.

It is a happy number.

4097808613 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3025770049 + 1072038564 = 55007^2 + 32742^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097808613 - 221 = 4095711461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4097808653) 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, 2048904306 + 2048904307.

It is an arithmetic number, because the mean of its divisors is an integer number (2048904307).

Almost surely, 24097808613 is an apocalyptic number.

It is an amenable number.

4097808613 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097808613 is an equidigital number, since it uses as much as digits as its factorization.

4097808613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 4097808613 is about 64014.1282296338. The cubic root of 4097808613 is about 1600.2354618313.

The spelling of 4097808613 in words is "four billion, ninety-seven million, eight hundred eight thousand, six hundred thirteen".