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2005661741 is a prime number
BaseRepresentation
bin111011110001011…
…1111100000101101
312011210000011200012
41313202333200231
513101422133431
6531004143005
7100462562216
oct16742774055
95153004605
102005661741
1193a164396
1247b837a65
1325c6aa3c5
1415053040d
15bb13022b
hex778bf82d

2005661741 has 2 divisors, whose sum is σ = 2005661742. Its totient is φ = 2005661740.

The previous prime is 2005661711. The next prime is 2005661759. The reversal of 2005661741 is 1471665002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1745484841 + 260176900 = 41779^2 + 16130^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005661741 - 26 = 2005661677 is a prime.

It is a super-2 number, since 2×20056617412 = 8045358038622302162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005661698 and 2005661707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005661711) 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, 1002830870 + 1002830871.

It is an arithmetic number, because the mean of its divisors is an integer number (1002830871).

Almost surely, 22005661741 is an apocalyptic number.

It is an amenable number.

2005661741 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005661741 is an equidigital number, since it uses as much as digits as its factorization.

2005661741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2005661741 is about 44784.6150033692. The cubic root of 2005661741 is about 1261.1088209011.

The spelling of 2005661741 in words is "two billion, five million, six hundred sixty-one thousand, seven hundred forty-one".