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11085040723248 = 243510128228621
BaseRepresentation
bin1010000101001110111111…
…1010100010010100110000
31110020201102112210000200000
42201103233322202110300
52423104130411120443
635324221501230000
72222603433332142
oct241235772422460
943221375700600
1011085040723248
113594159557a78
1212b0431862300
1362541297553b
142a4739972c92
151435324758d3
hexa14efea2530

11085040723248 has 120 divisors (see below), whose sum is σ = 32490240606096. Its totient is φ = 3658429152000.

The previous prime is 11085040723241. The next prime is 11085040723279. The reversal of 11085040723248 is 84232704058011.

11085040723248 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 5 + 0 + 407 + 232 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11085040723241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13721623 + ... + 14506998.

Almost surely, 211085040723248 is an apocalyptic number.

11085040723248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11085040723248 is an abundant number, since it is smaller than the sum of its proper divisors (21405199882848).

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

11085040723248 is a wasteful number, since it uses less digits than its factorization.

11085040723248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28228745 (or 28228727 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 11085040723248 in words is "eleven trillion, eighty-five billion, forty million, seven hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 243 303 324 404 432 486 606 648 808 909 972 1212 1296 1616 1818 1944 2424 2727 3636 3888 4848 5454 7272 8181 10908 14544 16362 21816 24543 32724 43632 49086 65448 98172 130896 196344 392688 28228621 56457242 84685863 112914484 169371726 225828968 254057589 338743452 451657936 508115178 677486904 762172767 1016230356 1354973808 1524345534 2032460712 2286518301 2851090721 3048691068 4064921424 4573036602 5702181442 6097382136 6859554903 8553272163 9146073204 11404362884 12194764272 13719109806 17106544326 18292146408 22808725768 25659816489 27438219612 34213088652 36584292816 45617451536 51319632978 54876439224 68426177304 76979449467 102639265956 109752878448 136852354608 153958898934 205278531912 230938348401 307917797868 410557063824 461876696802 615835595736 692815045203 923753393604 1231671191472 1385630090406 1847506787208 2771260180812 3695013574416 5542520361624 11085040723248