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116118585 = 325111713799
BaseRepresentation
bin1101110101111…
…01010000111001
322002111102202100
412322331100321
5214211243320
615304454013
72606664102
oct672752071
9262442670
10116118585
115a600680
1232a7a309
131b09832b
14115c93a9
15a2da790
hex6ebd439

116118585 has 48 divisors (see below), whose sum is σ = 232502400. Its totient is φ = 52984320.

The previous prime is 116118539. The next prime is 116118631. The reversal of 116118585 is 585811611.

116118585 is a `hidden beast` number, since 1 + 1 + 61 + 18 + 585 = 666.

It is an interprime number because it is at equal distance from previous prime (116118539) and next prime (116118631).

It is not a de Polignac number, because 116118585 - 26 = 116118521 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1516 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (4843800).

Almost surely, 2116118585 is an apocalyptic number.

116118585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116118585 is an abundant number, since it is smaller than the sum of its proper divisors (116383815).

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

116118585 is a wasteful number, since it uses less digits than its factorization.

116118585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 13835 counting only the distinct ones).

The product of its digits is 9600, while the sum is 36.

The square root of 116118585 is about 10775.8333784446. The cubic root of 116118585 is about 487.8660288539.

The spelling of 116118585 in words is "one hundred sixteen million, one hundred eighteen thousand, five hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 13799 41397 68995 124191 151789 206985 234583 455367 620955 703749 758945 1172915 1366101 2111247 2276835 2580413 3518745 6830505 7741239 10556235 12902065 23223717 38706195 116118585