Search a number
-
+
2767022081 is a prime number
BaseRepresentation
bin1010010011101101…
…0110100000000001
321010211122021201022
42210323112200001
521131324201311
61134322515225
7125366204525
oct24473264001
97124567638
102767022081
11119aa0370a
12652805b15
13351351995
141c36bbd85
15112dc35db
hexa4ed6801

2767022081 has 2 divisors, whose sum is σ = 2767022082. Its totient is φ = 2767022080.

The previous prime is 2767022057. The next prime is 2767022123. The reversal of 2767022081 is 1802207672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1786330225 + 980691856 = 42265^2 + 31316^2 .

It is a cyclic number.

It is not a de Polignac number, because 2767022081 - 218 = 2766759937 is a prime.

It is a super-2 number, since 2×27670220812 = 15312822393483141122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2767022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1383511040 + 1383511041.

It is an arithmetic number, because the mean of its divisors is an integer number (1383511041).

Almost surely, 22767022081 is an apocalyptic number.

It is an amenable number.

2767022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2767022081 is an equidigital number, since it uses as much as digits as its factorization.

2767022081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 2767022081 is about 52602.4912052652. The cubic root of 2767022081 is about 1403.9044208453.

The spelling of 2767022081 in words is "two billion, seven hundred sixty-seven million, twenty-two thousand, eighty-one".