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116105566185 = 3357235341871
BaseRepresentation
bin110110000100001101…
…1100101011111101001
3102002200121002212122000
41230020123211133221
53400241011104220
6125201013121213
711250130012650
oct1541033453751
9362617085560
10116105566185
1145270624384
121a603629209
13ac44407b6b
145896032197
153048134390
hex1b086e57e9

116105566185 has 64 divisors (see below), whose sum is σ = 246153461760. Its totient is φ = 50769132480.

The previous prime is 116105566151. The next prime is 116105566189. The reversal of 116105566185 is 581665501611.

116105566185 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 5 + 566 + 1 + 85 = 666.

It is not a de Polignac number, because 116105566185 - 26 = 116105566121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116105566185.

It is not an unprimeable number, because it can be changed into a prime (116105566189) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649201 + ... + 2692670.

It is an arithmetic number, because the mean of its divisors is an integer number (3846147840).

Almost surely, 2116105566185 is an apocalyptic number.

116105566185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116105566185 is an abundant number, since it is smaller than the sum of its proper divisors (130047895575).

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

116105566185 is a wasteful number, since it uses less digits than its factorization.

116105566185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341915 (or 5341909 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 116105566185 in words is "one hundred sixteen billion, one hundred five million, five hundred sixty-six thousand, one hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1035 1449 2415 3105 4347 7245 21735 5341871 16025613 26709355 37393097 48076839 80128065 112179291 122863033 144230517 186965485 240384195 336537873 368589099 560896455 614315165 721152585 860041231 1009613619 1105767297 1682689365 1842945495 2580123693 3317301891 4300206155 5048068095 5528836485 7740371079 12900618465 16586509455 23221113237 38701855395 116105566185