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13272817966 = 21723791811187
BaseRepresentation
bin11000101110001111…
…10010000100101110
31021021000011000100121
430113013302010232
5204140320133331
610033014315154
7646625043202
oct142707620456
937230130317
1013272817966
1156a1183651
1226a5058aba
131336a73355
148dcaa4b02
1552a391c11
hex3171f212e

13272817966 has 64 divisors (see below), whose sum is σ = 22417274880. Its totient is φ = 5861306880.

The previous prime is 13272817963. The next prime is 13272817969. The reversal of 13272817966 is 66971827231.

13272817966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13272817963) and next prime (13272817969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13272817963) 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 31 ways as a sum of consecutive naturals, for example, 11181225 + ... + 11182411.

It is an arithmetic number, because the mean of its divisors is an integer number (350269920).

Almost surely, 213272817966 is an apocalyptic number.

13272817966 is a deficient number, since it is larger than the sum of its proper divisors (9144456914).

13272817966 is a wasteful number, since it uses less digits than its factorization.

13272817966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489.

The product of its digits is 1524096, while the sum is 52.

The spelling of 13272817966 in words is "thirteen billion, two hundred seventy-two million, eight hundred seventeen thousand, nine hundred sixty-six".

Divisors: 1 2 17 23 34 46 79 158 181 362 391 782 1187 1343 1817 2374 2686 3077 3634 4163 6154 8326 14299 20179 27301 28598 30889 40358 54602 61778 70771 93773 141542 187546 214847 243083 328877 429694 464117 486166 657754 928234 1594141 2156779 3188282 3652399 4313558 4941481 5590909 7304798 9882962 11181818 16972913 33945826 36665243 73330486 84005177 168010354 288539521 390376999 577079042 780753998 6636408983 13272817966