Search a number
-
+
13659529884 = 223721113162451
BaseRepresentation
bin11001011100010101…
…11110001010011100
31022020221211000101020
430232022332022130
5210433314424014
610135231044140
7662332042200
oct145612761234
938227730336
1013659529884
11587a4a2a80
122792670650
131398c11580
149381aab00
1554e2cd1a9
hex32e2be29c

13659529884 has 144 divisors (see below), whose sum is σ = 43557929856. Its totient is φ = 3274992000.

The previous prime is 13659529883. The next prime is 13659529889. The reversal of 13659529884 is 48892595631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13659529883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2859 + ... + 165309.

It is an arithmetic number, because the mean of its divisors is an integer number (302485624).

Almost surely, 213659529884 is an apocalyptic number.

13659529884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13659529884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778964928).

13659529884 is an abundant number, since it is smaller than the sum of its proper divisors (29898399972).

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

13659529884 is a wasteful number, since it uses less digits than its factorization.

13659529884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162496 (or 162487 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The spelling of 13659529884 in words is "thirteen billion, six hundred fifty-nine million, five hundred twenty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 162451 324902 487353 649804 974706 1137157 1786961 1949412 2111863 2274314 3411471 3573922 4223726 4548628 5360883 6335589 6822942 7147844 7960099 8447452 10721766 12508727 12671178 13645884 14783041 15920198 21443532 23230493 23880297 25017454 25342356 29566082 31840396 37526181 44349123 46460986 47760594 50034908 59132164 69691479 75052362 87561089 88698246 92921972 95521188 103481287 139382958 150104724 162613451 175122178 177396492 206962574 262683267 278765916 310443861 325226902 350244356 413925148 487840353 525366534 620887722 650453804 975680706 1050733068 1138294157 1241775444 1951361412 2276588314 3414882471 4553176628 6829764942 13659529884