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6610105116 = 223441895591
BaseRepresentation
bin1100010011111111…
…00011001100011100
3122001200002010120000
412021333203030130
5102014141330431
63011525254300
7322542652326
oct61177431434
918050063500
106610105116
11289226089a
121345864390
138145c2004
14469c66616
1528a49e9e6
hex189fe331c

6610105116 has 120 divisors (see below), whose sum is σ = 17903682720. Its totient is φ = 2125094400.

The previous prime is 6610105069. The next prime is 6610105123. The reversal of 6610105116 is 6115010166.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6610105116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1179481 + ... + 1185071.

It is an arithmetic number, because the mean of its divisors is an integer number (149197356).

Almost surely, 26610105116 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 6610105116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951841360).

6610105116 is an abundant number, since it is smaller than the sum of its proper divisors (11293577604).

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

6610105116 is a wasteful number, since it uses less digits than its factorization.

6610105116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5726 counting only the distinct ones).

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

The square root of 6610105116 is about 81302.5529488466. The cubic root of 6610105116 is about 1876.7342878498.

The spelling of 6610105116 in words is "six billion, six hundred ten million, one hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 89 108 123 162 164 178 246 267 324 356 369 492 534 738 801 1068 1107 1476 1602 2214 2403 3204 3321 3649 4428 4806 5591 6642 7209 7298 9612 10947 11182 13284 14418 14596 16773 21894 22364 28836 32841 33546 43788 50319 65682 67092 98523 100638 131364 150957 197046 201276 229231 295569 301914 394092 452871 458462 497599 591138 603828 687693 905742 916924 995198 1182276 1375386 1492797 1811484 1990396 2063079 2750772 2985594 4126158 4478391 5971188 6189237 8252316 8956782 12378474 13435173 17913564 18567711 20401559 24756948 26870346 37135422 40305519 40803118 53740692 61204677 74270844 80611038 81606236 122409354 161222076 183614031 244818708 367228062 550842093 734456124 1101684186 1652526279 2203368372 3305052558 6610105116