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13532802084 = 22338910313669
BaseRepresentation
bin11001001101001111…
…00010110000100100
31021221010100120112000
430212213202300210
5210203344131314
610114502525300
7656232630324
oct144647426044
937833316460
1013532802084
115814a0655a
122758136830
1313788a02c9
1492541d284
155430e9209
hex3269e2c24

13532802084 has 96 divisors (see below), whose sum is σ = 35826336000. Its totient is φ = 4416622848.

The previous prime is 13532801999. The next prime is 13532802109. The reversal of 13532802084 is 48020823531.

13532802084 is a `hidden beast` number, since 1 + 353 + 280 + 20 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983202 + ... + 996870.

It is an arithmetic number, because the mean of its divisors is an integer number (373191000).

Almost surely, 213532802084 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 13532802084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913168000).

13532802084 is an abundant number, since it is smaller than the sum of its proper divisors (22293533916).

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

13532802084 is a wasteful number, since it uses less digits than its factorization.

13532802084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13532802084 in words is "thirteen billion, five hundred thirty-two million, eight hundred two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 103 108 178 206 267 309 356 412 534 618 801 927 1068 1236 1602 1854 2403 2781 3204 3708 4806 5562 9167 9612 11124 13669 18334 27338 27501 36668 41007 54676 55002 82014 82503 110004 123021 164028 165006 246042 247509 330012 369063 492084 495018 738126 990036 1216541 1407907 1476252 2433082 2815814 3649623 4223721 4866164 5631628 7299246 8447442 10948869 12671163 14598492 16894884 21897738 25342326 32846607 38013489 43795476 50684652 65693214 76026978 125303723 131386428 152053956 250607446 375911169 501214892 751822338 1127733507 1503644676 2255467014 3383200521 4510934028 6766401042 13532802084