Search a number
-
+
4461037673 is a prime number
BaseRepresentation
bin1000010011110011…
…00000100001101001
3102111220020012020112
410021321200201221
533114011201143
62014355304105
7215356123511
oct41171404151
912456205215
104461037673
11198a1596a4
12a45bab035
135612b4381
14304686841
151b1993e18
hex109e60869

4461037673 has 2 divisors, whose sum is σ = 4461037674. Its totient is φ = 4461037672.

The previous prime is 4461037661. The next prime is 4461037697. The reversal of 4461037673 is 3767301644.

4461037673 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., 3081138064 + 1379899609 = 55508^2 + 37147^2 .

It is a cyclic number.

It is not a de Polignac number, because 4461037673 - 220 = 4459989097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4461037673.

It is not a weakly prime, because it can be changed into another prime (4461037073) 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, 2230518836 + 2230518837.

It is an arithmetic number, because the mean of its divisors is an integer number (2230518837).

Almost surely, 24461037673 is an apocalyptic number.

It is an amenable number.

4461037673 is a deficient number, since it is larger than the sum of its proper divisors (1).

4461037673 is an equidigital number, since it uses as much as digits as its factorization.

4461037673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 41.

The square root of 4461037673 is about 66790.9999401117. Note that the first 4 decimals coincide. The cubic root of 4461037673 is about 1646.1849628047.

The spelling of 4461037673 in words is "four billion, four hundred sixty-one million, thirty-seven thousand, six hundred seventy-three".