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2009416319 is a prime number
BaseRepresentation
bin111011111000101…
…0100001001111111
312012001001220222122
41313301110021333
513103402310234
6531220433155
7100536520421
oct16761241177
95161056878
102009416319
11941299249
12480b487bb
132603c3351
14150c2a811
15bb62292e
hex77c5427f

2009416319 has 2 divisors, whose sum is σ = 2009416320. Its totient is φ = 2009416318.

The previous prime is 2009416289. The next prime is 2009416349. The reversal of 2009416319 is 9136149002.

It is a balanced prime because it is at equal distance from previous prime (2009416289) and next prime (2009416349).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2009416319 is a prime.

It is a super-2 number, since 2×20094163192 = 8075507886127019522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2009416349) 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, 1004708159 + 1004708160.

It is an arithmetic number, because the mean of its divisors is an integer number (1004708160).

Almost surely, 22009416319 is an apocalyptic number.

2009416319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2009416319 is an equidigital number, since it uses as much as digits as its factorization.

2009416319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 2009416319 is about 44826.5135717691. The cubic root of 2009416319 is about 1261.8952579202.

The spelling of 2009416319 in words is "two billion, nine million, four hundred sixteen thousand, three hundred nineteen".