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27541541639148 = 22341139462187151
BaseRepresentation
bin1100100001100100000111…
…10011100101001111101100
310121111221112101120010010020
412100302003303211033230
512102220034124423043
6134324224244242140
75541545035203165
oct620620363451754
9117457471503106
1027541541639148
118859336281159
12310989a6a0350
13124a2053205a4
146b303690676c
1532b6431c1e83
hex190c83ce53ec

27541541639148 has 96 divisors (see below), whose sum is σ = 66319715804160. Its totient is φ = 8890136640000.

The previous prime is 27541541639111. The next prime is 27541541639167. The reversal of 27541541639148 is 84193614514572.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27541541639091 and 27541541639100.

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, 315977373 + ... + 316064523.

It is an arithmetic number, because the mean of its divisors is an integer number (690830372960).

Almost surely, 227541541639148 is an apocalyptic number.

It is an amenable number.

27541541639148 is an abundant number, since it is smaller than the sum of its proper divisors (38778174165012).

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

27541541639148 is a wasteful number, since it uses less digits than its factorization.

27541541639148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91959 (or 91957 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 27541541639148 in words is "twenty-seven trillion, five hundred forty-one billion, five hundred forty-one million, six hundred thirty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 41 82 123 139 164 246 278 417 492 556 834 1668 4621 5699 9242 11398 13863 17097 18484 22796 27726 34194 55452 68388 87151 174302 189461 261453 348604 378922 522906 568383 642319 757844 1045812 1136766 1284638 1926957 2273532 2569276 3573191 3853914 7146382 7707828 10719573 12113989 14292764 21439146 24227978 26335079 36341967 42878292 48455956 52670158 72683934 79005237 105340316 145367868 158010474 316020948 402724771 496673549 805449542 993347098 1208174313 1490020647 1610899084 1986694196 2416348626 2980041294 4832697252 5960082588 16511715611 33023431222 49535146833 55978743169 66046862444 99070293666 111957486338 167936229507 198140587332 223914972676 335872459014 671744918028 2295128469929 4590256939858 6885385409787 9180513879716 13770770819574 27541541639148