Search a number
-
+
6616241761 is a prime number
BaseRepresentation
bin1100010100101101…
…11101011001100001
3122002002121220110011
412022112331121201
5102022224214021
63012305004521
7322646061403
oct61226753141
918062556404
106616241761
1128957723a8
121347923741
1381596026c
1446a9c2b73
1528acb2de1
hex18a5bd661

6616241761 has 2 divisors, whose sum is σ = 6616241762. Its totient is φ = 6616241760.

The previous prime is 6616241689. The next prime is 6616241773. The reversal of 6616241761 is 1671426166.

6616241761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3509851536 + 3106390225 = 59244^2 + 55735^2 .

It is a cyclic number.

It is not a de Polignac number, because 6616241761 - 27 = 6616241633 is a prime.

It is a super-2 number, since 2×66162417612 = 87549310080000762242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6616241461) 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, 3308120880 + 3308120881.

It is an arithmetic number, because the mean of its divisors is an integer number (3308120881).

Almost surely, 26616241761 is an apocalyptic number.

It is an amenable number.

6616241761 is a deficient number, since it is larger than the sum of its proper divisors (1).

6616241761 is an equidigital number, since it uses as much as digits as its factorization.

6616241761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The square root of 6616241761 is about 81340.2837528859. The cubic root of 6616241761 is about 1877.3148782105.

The spelling of 6616241761 in words is "six billion, six hundred sixteen million, two hundred forty-one thousand, seven hundred sixty-one".