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61005605605110 = 232529132717614013
BaseRepresentation
bin11011101111011111110010…
…11100111000111011110110
322000000002010112202012001100
431313233321130320323312
530444003440013330420
6333425331024310530
715564336530514465
oct1567577134707366
9260002115665040
1061005605605110
1118490371a510a1
126a13365a72446
132806a5b2b481a
14110c9894469dc
1570bd684e9190
hex377bf9738ef6

61005605605110 has 96 divisors (see below), whose sum is σ = 164207702355840. Its totient is φ = 15695352900864.

The previous prime is 61005605605099. The next prime is 61005605605111. The reversal of 61005605605110 is 1150650650016.

It is a super-2 number, since 2×610056056051102 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005605605111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5343537 + ... + 12270476.

It is an arithmetic number, because the mean of its divisors is an integer number (1710496899540).

Almost surely, 261005605605110 is an apocalyptic number.

61005605605110 is an abundant number, since it is smaller than the sum of its proper divisors (103202096750730).

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

61005605605110 is a wasteful number, since it uses less digits than its factorization.

61005605605110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17615382 (or 17615379 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 61005605605110 in words is "sixty-one trillion, five billion, six hundred five million, six hundred five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 1327 2610 2654 3981 6635 7962 11943 13270 19905 23886 38483 39810 59715 76966 115449 119430 192415 230898 346347 384830 577245 692694 1154490 1731735 3463470 17614013 35228026 52842039 88070065 105684078 158526117 176140130 264210195 317052234 510806377 528420390 792630585 1021612754 1532419131 1585261170 2554031885 3064838262 4597257393 5108063770 7662095655 9194514786 15324191310 22986286965 23373795251 45972573930 46747590502 70121385753 116868976255 140242771506 210364157259 233737952510 350606928765 420728314518 677840062279 701213857530 1051820786295 1355680124558 2033520186837 2103641572590 3389200311395 4067040373674 6100560560511 6778400622790 10167600934185 12201121121022 20335201868370 30502802802555 61005605605110