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11001660110056 = 23711414133105397
BaseRepresentation
bin1010000000011000011000…
…0010101111010011101000
31102221202012121110000012001
42200012012002233103220
52420222344442010211
635222032021300344
72213562251656330
oct240060602572350
942852177400161
1011001660110056
1135618613571a0
1212982418646b4
1361a5b5344bb5
142a06a9c360c0
151412a22cdac1
hexa01860af4e8

11001660110056 has 128 divisors (see below), whose sum is σ = 26352063279360. Its totient is φ = 4180764211200.

The previous prime is 11001660110011. The next prime is 11001660110081. The reversal of 11001660110056 is 65001106610011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104330350 + ... + 104435746.

It is an arithmetic number, because the mean of its divisors is an integer number (205875494370).

Almost surely, 211001660110056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001660110056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176031639680).

11001660110056 is an abundant number, since it is smaller than the sum of its proper divisors (15350403169304).

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

11001660110056 is a wasteful number, since it uses less digits than its factorization.

11001660110056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109595 (or 109591 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 11001660110056 its reverse (65001106610011), we get a palindrome (76002766720067).

The spelling of 11001660110056 in words is "eleven trillion, one billion, six hundred sixty million, one hundred ten thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 451 574 616 902 1148 1804 2296 3157 3608 4133 6314 8266 12628 16532 25256 28931 33064 45463 57862 90926 105397 115724 169453 181852 210794 231448 318241 338906 363704 421588 636482 677812 737779 843176 1159367 1186171 1272964 1355624 1475558 1863983 2318734 2372342 2545928 2951116 3727966 4321277 4637468 4744684 5902232 7455932 8115569 8642554 9274936 9489368 13047881 14911864 16231138 17285108 26095762 30248939 32462276 34570216 47534047 52191524 60497878 64924552 95068094 104383048 120995756 190136188 241991512 332738329 380272376 435605801 665476658 871211602 1330953316 1742423204 2661906632 3049240607 3484846408 4791663811 6098481214 9583327622 12196962428 17859837841 19166655244 24393924856 33541646677 35719675682 38333310488 67083293354 71439351364 125018864887 134166586708 142878702728 196458216251 250037729774 268333173416 392916432502 500075459548 785832865004 1000150919096 1375207513757 1571665730008 2750415027514 5500830055028 11001660110056