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11040543647166 = 23116131735924097
BaseRepresentation
bin1010000010101001001110…
…1011101010010110111110
31110002110120110200100112010
42200222103223222112332
52421342013133202131
635251542234352050
72216436651406305
oct240522353522676
943073513610463
1011040543647166
1135772a5076130
1212a389388b626
13621171001317
142a251801b43c
151422cac7bb46
hexa0a93aea5be

11040543647166 has 128 divisors (see below), whose sum is σ = 24630022149120. Its totient is φ = 3271118745600.

The previous prime is 11040543647149. The next prime is 11040543647213. The reversal of 11040543647166 is 66174634504011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458158830 + ... + 458182926.

It is an arithmetic number, because the mean of its divisors is an integer number (192422048040).

Almost surely, 211040543647166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040543647166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315011074560).

11040543647166 is an abundant number, since it is smaller than the sum of its proper divisors (13589478501954).

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

11040543647166 is a wasteful number, since it uses less digits than its factorization.

11040543647166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24850.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 11040543647166 in words is "eleven trillion, forty billion, five hundred forty-three million, six hundred forty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 317 359 366 634 671 718 951 1077 1342 1902 2013 2154 3487 3949 4026 6974 7898 10461 11847 19337 20922 21899 23694 24097 38674 43798 48194 58011 65697 72291 113803 116022 131394 144582 212707 227606 240889 265067 341409 425414 481778 530134 638121 682818 722667 795201 1251833 1276242 1445334 1469917 1590402 2503666 2939834 3755499 4409751 6941983 7510998 7638749 8650823 8819502 13883966 15277498 16169087 17301646 20825949 22916247 25952469 32338174 41651898 45832494 48507261 51904938 76361813 84026239 95159053 97014522 152723626 168052478 190318106 229085439 252078717 285477159 458170878 465963689 504157434 527700203 570954318 931927378 1055400406 1397891067 1583100609 2742310891 2795782134 3166201218 5125600579 5484621782 5804702233 8226932673 10251201158 11609404466 15376801737 16453865346 17414106699 30165419801 30753603474 34828213398 60330839602 90496259403 167280964351 180992518806 334561928702 501842893053 1003685786106 1840090607861 3680181215722 5520271823583 11040543647166