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13666261812 = 22372573171997
BaseRepresentation
bin11001011101001001…
…01001101100110100
31022021102111000211220
430232210221230310
5210442030334222
610140031230340
7662443210620
oct145644515464
938242430756
1013666261812
115883280855
1227949783b0
13139a42a768
14939040180
1554ebacb5c
hex32e929b34

13666261812 has 96 divisors (see below), whose sum is σ = 36718956288. Its totient is φ = 3875241984.

The previous prime is 13666261793. The next prime is 13666261853. The reversal of 13666261812 is 21816266631.

13666261812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 6842398 + ... + 6844394.

It is an arithmetic number, because the mean of its divisors is an integer number (382489128).

Almost surely, 213666261812 is an apocalyptic number.

13666261812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13666261812 is an abundant number, since it is smaller than the sum of its proper divisors (23052694476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13666261812 is a wasteful number, since it uses less digits than its factorization.

13666261812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2583 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 13666261812 in words is "thirteen billion, six hundred sixty-six million, two hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 257 317 514 634 771 951 1028 1268 1542 1799 1902 1997 2219 3084 3598 3804 3994 4438 5397 5991 6657 7196 7988 8876 10794 11982 13314 13979 21588 23964 26628 27958 41937 55916 81469 83874 162938 167748 244407 325876 488814 513229 570283 633049 977628 1026458 1140566 1266098 1539687 1710849 1899147 2052916 2281132 2532196 3079374 3421698 3592603 3798294 4431343 6158748 6843396 7185206 7596588 8862686 10777809 13294029 14370412 17725372 21555618 26588058 43111236 53176116 162693593 325387186 488080779 650774372 976161558 1138855151 1952323116 2277710302 3416565453 4555420604 6833130906 13666261812