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11060115066 = 23272111387691
BaseRepresentation
bin10100100110011101…
…11111011001111010
31001112210120001121100
422103032333121322
5140122342140231
65025252352230
7541036266300
oct122316773172
931483501540
1011060115066
114766168170
122188015676
131073514ab0
1476cc7c270
1544aeb61e6
hex2933bf67a

11060115066 has 144 divisors (see below), whose sum is σ = 32749805088. Its totient is φ = 2651745600.

The previous prime is 11060115037. The next prime is 11060115067. The reversal of 11060115066 is 66051106011.

11060115066 is a `hidden beast` number, since 1 + 1 + 0 + 601 + 1 + 50 + 6 + 6 = 666.

It is a super-2 number, since 2×110601150662 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11060115067) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82281 + ... + 169971.

It is an arithmetic number, because the mean of its divisors is an integer number (227429202).

Almost surely, 211060115066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11060115066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374902544).

11060115066 is an abundant number, since it is smaller than the sum of its proper divisors (21689690022).

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

11060115066 is a wasteful number, since it uses less digits than its factorization.

11060115066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87737 (or 87727 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11060115066 in words is "eleven billion, sixty million, one hundred fifteen thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 49 63 66 77 78 91 98 99 117 126 143 147 154 182 198 231 234 273 286 294 429 441 462 539 546 637 693 819 858 882 1001 1078 1274 1287 1386 1617 1638 1911 2002 2574 3003 3234 3822 4851 5733 6006 7007 9009 9702 11466 14014 18018 21021 42042 63063 87691 126126 175382 263073 526146 613837 789219 964601 1139983 1227674 1578438 1841511 1929202 2279966 2893803 3419949 3683022 4296859 5524533 5787606 6752207 6839898 7979881 8593718 8681409 10259847 11049066 12539813 12890577 13504414 15959762 17362818 20256621 20519694 23939643 25079626 25781154 37619439 38671731 40513242 47265449 47879286 55859167 60769863 71818929 75238878 77343462 87778691 94530898 111718334 112858317 121539726 141796347 143637858 167577501 175557382 225716634 263336073 283592694 335155002 425389041 502732503 526672146 614450837 790008219 850778082 1005465006 1228901674 1580016438 1843352511 3686705022 5530057533 11060115066