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14376268047 = 3127199189613
BaseRepresentation
bin11010110001110010…
…00111000100001111
31101002220111002022010
431120321013010033
5213420311034142
610334313152303
71016154155631
oct153071070417
941086432263
1014376268047
116108034a69
1229526bb693
1314815614ab
149a5460a51
155921a9e9c
hex358e4710f

14376268047 has 16 divisors (see below), whose sum is σ = 19416473600. Its totient is φ = 9460880352.

The previous prime is 14376268037. The next prime is 14376268061. The reversal of 14376268047 is 74086267341.

It is a happy number.

14376268047 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 14376268047 - 210 = 14376267023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14376267987 and 14376268005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14376268007) 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 15 ways as a sum of consecutive naturals, for example, 18988 + ... + 170625.

It is an arithmetic number, because the mean of its divisors is an integer number (1213529600).

Almost surely, 214376268047 is an apocalyptic number.

14376268047 is a deficient number, since it is larger than the sum of its proper divisors (5040205553).

14376268047 is a wasteful number, since it uses less digits than its factorization.

14376268047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189942.

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 14376268047 in words is "fourteen billion, three hundred seventy-six million, two hundred sixty-eight thousand, forty-seven".

Divisors: 1 3 127 199 381 597 25273 75819 189613 568839 24080851 37732987 72242553 113198961 4792089349 14376268047