Search a number
-
+
7823352041 is a prime number
BaseRepresentation
bin1110100100100111…
…01110000011101001
3202012020000110110022
413102103232003221
5112010234231131
63332145330225
7364604252351
oct72223560351
922166013408
107823352041
1133550951aa
121624036975
13978a73bbb
14543043b61
1530bc5537b
hex1d24ee0e9

7823352041 has 2 divisors, whose sum is σ = 7823352042. Its totient is φ = 7823352040.

The previous prime is 7823352029. The next prime is 7823352161. The reversal of 7823352041 is 1402533287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7797596416 + 25755625 = 88304^2 + 5075^2 .

It is a cyclic number.

It is not a de Polignac number, because 7823352041 - 214 = 7823335657 is a prime.

It is a super-2 number, since 2×78233520412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7823351992 and 7823352010.

It is not a weakly prime, because it can be changed into another prime (7823355041) 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, 3911676020 + 3911676021.

It is an arithmetic number, because the mean of its divisors is an integer number (3911676021).

Almost surely, 27823352041 is an apocalyptic number.

It is an amenable number.

7823352041 is a deficient number, since it is larger than the sum of its proper divisors (1).

7823352041 is an equidigital number, since it uses as much as digits as its factorization.

7823352041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 7823352041 is about 88449.7147592913. The cubic root of 7823352041 is about 1985.1696387580.

The spelling of 7823352041 in words is "seven billion, eight hundred twenty-three million, three hundred fifty-two thousand, forty-one".