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11170906423168 = 27239769156611
BaseRepresentation
bin1010001010001110110111…
…1010001011111110000000
31110112221001200020112021011
42202203231322023332000
52431011004021020133
635431502113210304
72232033321621532
oct242435572137600
943487050215234
1011170906423168
1136176114a6238
121304bb5b60994
136305480b32bb
142a896375b852
151458aa89e6cd
hexa28ede8bf80

11170906423168 has 128 divisors (see below), whose sum is σ = 23495900279040. Its totient is φ = 5279783731200.

The previous prime is 11170906423139. The next prime is 11170906423181. The reversal of 11170906423168 is 86132460907111.

11170906423168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197299183 + ... + 197355793.

It is an arithmetic number, because the mean of its divisors is an integer number (183561720930).

Almost surely, 211170906423168 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 11170906423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11747950139520).

11170906423168 is an abundant number, since it is smaller than the sum of its proper divisors (12324993855872).

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

11170906423168 is an equidigital number, since it uses as much as digits as its factorization.

11170906423168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57436 (or 57424 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 11170906423168 in words is "eleven trillion, one hundred seventy billion, nine hundred six million, four hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 184 194 368 388 691 736 776 1382 1472 1552 2231 2764 2944 3104 4462 5528 6208 8924 11056 12416 15893 17848 22112 31786 35696 44224 56611 63572 67027 71392 88448 113222 127144 134054 142784 226444 254288 268108 285568 452888 508576 536216 905776 1017152 1072432 1302053 1541621 1811552 2034304 2144864 2604106 3083242 3623104 4289728 5208212 5491267 6166484 7246208 8579456 10416424 10982534 12332968 20832848 21965068 24665936 39118201 41665696 43930136 49331872 78236402 83331392 87860272 98663744 126299141 156472804 166662784 175720544 197327488 252598282 312945608 351441088 505196564 625891216 702882176 899718623 1010393128 1251782432 1799437246 2020786256 2503564864 3598874492 3794465497 4041572512 5007129728 7197748984 7588930994 8083145024 14395497968 15177861988 16166290048 28790995936 30355723976 57581991872 60711447952 87272706431 115163983744 121422895904 174545412862 242845791808 349090825724 485691583616 698181651448 1396363302896 2792726605792 5585453211584 11170906423168