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10645425362110 = 257111011147111933
BaseRepresentation
bin1001101011101001010011…
…0011000001010010111110
31101200200200222220210111111
42122322110303001102332
52343403312343041420
634350235122312234
72146051364403340
oct232722463012276
941620628823444
1010645425362110
1134347771004a0
12123b1a34b867a
135c2b22b78406
1428b354329290
15136da2c2245a
hex9ae94cc14be

10645425362110 has 128 divisors (see below), whose sum is σ = 24130653401088. Its totient is φ = 3284640960000.

The previous prime is 10645425362083. The next prime is 10645425362141. The reversal of 10645425362110 is 1126352454601.

10645425362110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106454253621103 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892093704 + ... + 892105636.

It is an arithmetic number, because the mean of its divisors is an integer number (188520729696).

Almost surely, 210645425362110 is an apocalyptic number.

10645425362110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10645425362110 is an abundant number, since it is smaller than the sum of its proper divisors (13485228038978).

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

10645425362110 is a wasteful number, since it uses less digits than its factorization.

10645425362110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23530.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 10645425362110 in words is "ten trillion, six hundred forty-five billion, four hundred twenty-five million, three hundred sixty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 101 110 154 202 385 505 707 770 1010 1111 1414 2222 3535 5555 7070 7777 11110 11471 11933 15554 22942 23866 38885 57355 59665 77770 80297 83531 114710 119330 126181 131263 160594 167062 252362 262526 401485 417655 630905 656315 802970 835310 883267 918841 1158571 1205233 1261810 1312630 1766534 1837682 2317142 2410466 4416335 4594205 5792855 6026165 8109997 8436631 8832670 9188410 11585710 12052330 12744281 13257563 16219994 16873262 25488562 26515126 40549985 42183155 63721405 66287815 81099970 84366310 89209967 92802941 127442810 132575630 136883443 178419934 185605882 273766886 446049835 464014705 684417215 892099670 928029410 958184101 1368834430 1505717873 1916368202 3011435746 4790920505 7528589365 9581841010 10540025111 13825227743 15057178730 21080050222 27650455486 52700125555 69126138715 96776594201 105400251110 138252277430 152077505173 193553188402 304155010346 483882971005 760387525865 967765942010 1064542536211 1520775051730 2129085072422 5322712681055 10645425362110