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12536026004106 = 23211397341346727
BaseRepresentation
bin1011011001101100010101…
…1000000111101010001010
31122101102200012120110000100
42312123011120013222022
53120342240124112411
642354545411350230
72432461260612663
oct266330530075212
948342605513010
1012536026004106
113aa3553958410
1214a56958b2376
136cc1b04a4747
14314a656a836a
1516b156700456
hexb66c5607a8a

12536026004106 has 96 divisors (see below), whose sum is σ = 29714582671488. Its totient is φ = 3788035701120.

The previous prime is 12536026004053. The next prime is 12536026004113. The reversal of 12536026004106 is 60140062063521.

12536026004106 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 6 + 0 + 2 + 600 + 41 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268258915 + ... + 268305641.

It is an arithmetic number, because the mean of its divisors is an integer number (309526902828).

Almost surely, 212536026004106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12536026004106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14857291335744).

12536026004106 is an abundant number, since it is smaller than the sum of its proper divisors (17178556667382).

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

12536026004106 is a wasteful number, since it uses less digits than its factorization.

12536026004106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50556 (or 50553 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12536026004106 its reverse (60140062063521), we get a palindrome (72676088067627).

The spelling of 12536026004106 in words is "twelve trillion, five hundred thirty-six billion, twenty-six million, four thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 397 794 1191 2382 3413 3573 4367 6826 7146 8734 10239 13101 20478 26202 30717 37543 39303 46727 61434 75086 78606 93454 112629 140181 225258 280362 337887 420543 513997 675774 841086 1027994 1354961 1541991 2709922 3083982 4064883 4625973 8129766 9251946 12194649 14904571 18550619 24389298 29809142 37101238 44713713 55651857 89427426 111303714 134141139 159479251 166955571 204056809 268282278 318958502 333911142 408113618 478437753 612170427 956875506 1224340854 1435313259 1754271761 1836511281 2870626518 3508543522 3673022562 5262815283 10525630566 15788445849 31576891698 63313262647 126626525294 189939787941 379879575882 569819363823 696445889117 1139638727646 1392891778234 2089337667351 4178675334702 6268013002053 12536026004106