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13563676047 = 331241114749
BaseRepresentation
bin11001010000111010…
…10100010110001111
31022000021110010122010
430220131110112033
5210234300113142
610121524352303
7660056226015
oct145035242617
938007403563
1013563676047
115830383629
122766545693
1313820c001c
149295788b5
15545b96e9c
hex32875458f

13563676047 has 24 divisors (see below), whose sum is σ = 19143054000. Its totient is φ = 8537251200.

The previous prime is 13563676001. The next prime is 13563676051. The reversal of 13563676047 is 74067636531.

13563676047 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 13563676047 - 211 = 13563673999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13563675987 and 13563676005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563676447) 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 23 ways as a sum of consecutive naturals, for example, 60829 + ... + 175577.

It is an arithmetic number, because the mean of its divisors is an integer number (797627250).

Almost surely, 213563676047 is an apocalyptic number.

13563676047 is a deficient number, since it is larger than the sum of its proper divisors (5579377953).

13563676047 is a wasteful number, since it uses less digits than its factorization.

13563676047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114855 (or 114824 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 13563676047 in words is "thirteen billion, five hundred sixty-three million, six hundred seventy-six thousand, forty-seven".

Divisors: 1 3 31 41 93 123 961 1271 2883 3813 39401 114749 118203 344247 3557219 4704709 10671657 14114127 110273789 145845979 330821367 437537937 4521225349 13563676047