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2066428319 = 1727519521
BaseRepresentation
bin111101100101011…
…0011000110011111
312100000100102202012
41323022303012133
513213001201234
6541014421435
7102131231234
oct17312630637
95300312665
102066428319
119704991aa
1249806187b
1326c165267
1415862b78b
15c16350ce
hex7b2b319f

2066428319 has 12 divisors (see below), whose sum is σ = 2198287008. Its totient is φ = 1942080000.

The previous prime is 2066428279. The next prime is 2066428327. The reversal of 2066428319 is 9138246602.

It is a de Polignac number, because none of the positive numbers 2k-2066428319 is a prime.

It is a super-2 number, since 2×20664283192 = 8540251995130331522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066428369) 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 in 11 ways as a sum of consecutive naturals, for example, 212279 + ... + 221799.

It is an arithmetic number, because the mean of its divisors is an integer number (183190584).

Almost surely, 22066428319 is an apocalyptic number.

2066428319 is a deficient number, since it is larger than the sum of its proper divisors (131858689).

2066428319 is an equidigital number, since it uses as much as digits as its factorization.

2066428319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2066428319 is about 45457.9841062051. The cubic root of 2066428319 is about 1273.7184753118.

The spelling of 2066428319 in words is "two billion, sixty-six million, four hundred twenty-eight thousand, three hundred nineteen".

Divisors: 1 17 289 751 9521 12767 161857 217039 2751569 7150271 121554607 2066428319