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13666412430 = 23251128348779
BaseRepresentation
bin11001011101001010…
…01110011110001110
31022021102202200110100
430232211032132032
5210442100144210
610140034351530
7662444406006
oct145645163616
938242680410
1013666412430
115883373a30
122794a2b5a6
13139a481198
1493907d006
1554ebdc5c0
hex32e94e78e

13666412430 has 96 divisors (see below), whose sum is σ = 38900684160. Its totient is φ = 3301295040.

The previous prime is 13666412413. The next prime is 13666412471. The reversal of 13666412430 is 3421466631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255781 + ... + 304559.

It is an arithmetic number, because the mean of its divisors is an integer number (405215460).

Almost surely, 213666412430 is an apocalyptic number.

13666412430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13666412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450342080).

13666412430 is an abundant number, since it is smaller than the sum of its proper divisors (25234271730).

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

13666412430 is a wasteful number, since it uses less digits than its factorization.

13666412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49086 (or 49083 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13666412430 in words is "thirteen billion, six hundred sixty-six million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 283 330 495 566 849 990 1415 1698 2547 2830 3113 4245 5094 6226 8490 9339 12735 15565 18678 25470 28017 31130 46695 48779 56034 93390 97558 140085 146337 243895 280170 292674 439011 487790 536569 731685 878022 1073138 1463370 1609707 2195055 2682845 3219414 4390110 4829121 5365690 8048535 9658242 13804457 16097070 24145605 27608914 41413371 48291210 69022285 82826742 124240113 138044570 151849027 207066855 248480226 303698054 414133710 455547081 621200565 759245135 911094162 1242401130 1366641243 1518490270 2277735405 2733282486 4555470810 6833206215 13666412430