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116385066 = 2337476551
BaseRepresentation
bin1101110111111…
…10010100101010
322002222222022000
412323332110222
5214243310231
615314311430
72612154030
oct673762452
9262888260
10116385066
115a772906
1232b88576
131b15c705
1411658550
15a33e6e6
hex6efe52a

116385066 has 64 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 32540400.

The previous prime is 116385041. The next prime is 116385107. The reversal of 116385066 is 660583611.

It is a happy number.

116385066 is a `hidden beast` number, since 11 + 638 + 5 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116385066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14491 + ... + 21041.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2116385066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116385066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

116385066 is an abundant number, since it is smaller than the sum of its proper divisors (185531094).

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

116385066 is a wasteful number, since it uses less digits than its factorization.

116385066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 116385066 is about 10788.1910439146. The cubic root of 116385066 is about 488.2389456229.

The spelling of 116385066 in words is "one hundred sixteen million, three hundred eighty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2538 2961 5922 6551 8883 13102 17766 19653 39306 45857 58959 91714 117918 137571 176877 275142 307897 353754 412713 615794 825426 923691 1238139 1847382 2155279 2476278 2771073 4310558 5542146 6465837 8313219 12931674 16626438 19397511 38795022 58192533 116385066