Search a number
-
+
115966227744 = 2534389115013
BaseRepresentation
bin110110000000000100…
…0000011010100100000
3102002022212220202020000
41230000020003110200
53344444323241434
6125135114420000
711243515446303
oct1540010032440
9362285822200
10115966227744
11451a9a04344
121a584a31600
13ac2159c993
145881720b3a
15303acadb99
hex1b00203520

115966227744 has 120 divisors (see below), whose sum is σ = 341933171580. Its totient is φ = 38555702784.

The previous prime is 115966227743. The next prime is 115966227763. The reversal of 115966227744 is 447722669511.

115966227744 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 6 + 622 + 7 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113663379600 + 2302848144 = 337140^2 + 47988^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (115966227743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 950782 + ... + 1065794.

Almost surely, 2115966227744 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 115966227744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170966585790).

115966227744 is an abundant number, since it is smaller than the sum of its proper divisors (225966943836).

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

115966227744 is a wasteful number, since it uses less digits than its factorization.

115966227744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115424 (or 115407 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 115966227744 in words is "one hundred fifteen billion, nine hundred sixty-six million, two hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 389 432 648 778 864 1167 1296 1556 2334 2592 3112 3501 4668 6224 7002 9336 10503 12448 14004 18672 21006 28008 31509 37344 42012 56016 63018 84024 112032 115013 126036 168048 230026 252072 336096 345039 460052 504144 690078 920104 1008288 1035117 1380156 1840208 2070234 2760312 3105351 3680416 4140468 5520624 6210702 8280936 9316053 11041248 12421404 16561872 18632106 24842808 33123744 37264212 44740057 49685616 74528424 89480114 99371232 134220171 149056848 178960228 268440342 298113696 357920456 402660513 536880684 715840912 805321026 1073761368 1207981539 1431681824 1610642052 2147522736 2415963078 3221284104 3623944617 4295045472 4831926156 6442568208 7247889234 9663852312 12885136416 14495778468 19327704624 28991556936 38655409248 57983113872 115966227744