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14376268005 = 3511349421593
BaseRepresentation
bin11010110001110010…
…00111000011100101
31101002220111002020120
431120321013003211
5213420311034010
610334313152153
71016154155541
oct153071070345
941086432216
1014376268005
116108034a30
1229526bb659
131481561478
149a5460a21
155921a9e70
hex358e470e5

14376268005 has 64 divisors (see below), whose sum is σ = 25267334400. Its totient is φ = 6922137600.

The previous prime is 14376268001. The next prime is 14376268007. The reversal of 14376268005 is 50086267341.

14376268005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14376268005 - 22 = 14376268001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14376268001) 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 in 63 ways as a sum of consecutive naturals, for example, 24242989 + ... + 24243581.

It is an arithmetic number, because the mean of its divisors is an integer number (394802100).

Almost surely, 214376268005 is an apocalyptic number.

14376268005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14376268005 is a deficient number, since it is larger than the sum of its proper divisors (10891066395).

14376268005 is a wasteful number, since it uses less digits than its factorization.

14376268005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 14376268005 in words is "fourteen billion, three hundred seventy-six million, two hundred sixty-eight thousand, five".

Divisors: 1 3 5 11 15 33 55 165 349 421 593 1047 1263 1745 1779 2105 2965 3839 4631 5235 6315 6523 8895 11517 13893 19195 19569 23155 32615 57585 69465 97845 146929 206957 249653 440787 620871 734645 748959 1034785 1248265 1616219 2203935 2276527 2746183 3104355 3744795 4848657 6829581 8081095 8238549 11382635 13730915 24243285 34147905 41192745 87128897 261386691 435644485 958417867 1306933455 2875253601 4792089335 14376268005