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13532051533416 = 23313211271758503
BaseRepresentation
bin1100010011101010110100…
…0111111110111001101000
31202220122120221022211200020
43010322231013332321220
53233202120143032131
644440312203240440
72564441565123633
oct304725507767150
952818527284606
1013532051533416
114347a02346689
121626728819120
137720b4219980
1434ad51d24c1a
15186eee085996
hexc4ead1fee68

13532051533416 has 128 divisors (see below), whose sum is σ = 36740234711040. Its totient is φ = 4128678086400.

The previous prime is 13532051533333. The next prime is 13532051533417. The reversal of 13532051533416 is 61433515023531.

It is not an unprimeable number, because it can be changed into a prime (13532051533417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17461221 + ... + 18219723.

It is an arithmetic number, because the mean of its divisors is an integer number (287033083680).

Almost surely, 213532051533416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13532051533416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370117355520).

13532051533416 is an abundant number, since it is smaller than the sum of its proper divisors (23208183177624).

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

13532051533416 is a wasteful number, since it uses less digits than its factorization.

13532051533416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759007 (or 759003 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 13532051533416 its reverse (61433515023531), we get a palindrome (74965566556947).

The spelling of 13532051533416 in words is "thirteen trillion, five hundred thirty-two billion, fifty-one million, five hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 211 271 312 422 542 633 813 844 1084 1266 1626 1688 2168 2532 2743 3252 3523 5064 5486 6504 7046 8229 10569 10972 14092 16458 21138 21944 28184 32916 42276 57181 65832 84552 114362 171543 228724 343086 457448 686172 743353 758503 1372344 1486706 1517006 2230059 2275509 2973412 3034012 4460118 4551018 5946824 6068024 8920236 9102036 9860539 17840472 18204072 19721078 29581617 39442156 59163234 78884312 118326468 160044133 205554313 236652936 320088266 411108626 480132399 616662939 640176532 822217252 960264798 1233325878 1280353064 1644434504 1920529596 2080573729 2466651756 2672206069 3841059192 4161147458 4933303512 5344412138 6241721187 8016618207 8322294916 10688824276 12483442374 16033236414 16644589832 21377648552 24966884748 32066472828 43371960043 49933769496 64132945656 86743920086 130115880129 173487840172 260231760258 346975680344 520463520516 563835480559 1040927041032 1127670961118 1691506441677 2255341922236 3383012883354 4510683844472 6766025766708 13532051533416