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2049147713 is a prime number
BaseRepresentation
bin111101000100011…
…1000001101000001
312021210211111012202
41322020320031001
513144040211323
6535200202545
7101531316404
oct17210701501
95253744182
102049147713
11961766008
12492309455
132686c4852
1415620dd3b
15bed6ed28
hex7a238341

2049147713 has 2 divisors, whose sum is σ = 2049147714. Its totient is φ = 2049147712.

The previous prime is 2049147707. The next prime is 2049147721. The reversal of 2049147713 is 3177419402.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1654211584 + 394936129 = 40672^2 + 19873^2 .

It is a cyclic number.

It is not a de Polignac number, because 2049147713 - 210 = 2049146689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2049147773) 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, 1024573856 + 1024573857.

It is an arithmetic number, because the mean of its divisors is an integer number (1024573857).

Almost surely, 22049147713 is an apocalyptic number.

It is an amenable number.

2049147713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2049147713 is an equidigital number, since it uses as much as digits as its factorization.

2049147713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 2049147713 is about 45267.5127768248. The cubic root of 2049147713 is about 1270.1580213399.

The spelling of 2049147713 in words is "two billion, forty-nine million, one hundred forty-seven thousand, seven hundred thirteen".