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116565605112 = 2331119103225619
BaseRepresentation
bin110110010001111011…
…0011111101011111000
3102010212122202021101210
41230203312133223320
53402211243330422
6125314405243120
711264414203215
oct1544366375370
9363778667353
10116565605112
1145487277440
121a7117034a0
13acb880b048
1458db184b0c
15307370710c
hex1b23d9faf8

116565605112 has 128 divisors (see below), whose sum is σ = 337888512000. Its totient is φ = 33138771840.

The previous prime is 116565605059. The next prime is 116565605137. The reversal of 116565605112 is 211506565611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403839 + ... + 629457.

It is an arithmetic number, because the mean of its divisors is an integer number (2639754000).

Almost surely, 2116565605112 is an apocalyptic number.

116565605112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116565605112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168944256000).

116565605112 is an abundant number, since it is smaller than the sum of its proper divisors (221322906888).

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

116565605112 is a wasteful number, since it uses less digits than its factorization.

116565605112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225761 (or 225757 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 116565605112 in words is "one hundred sixteen billion, five hundred sixty-five million, six hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 103 114 132 152 206 209 228 264 309 412 418 456 618 627 824 836 1133 1236 1254 1672 1957 2266 2472 2508 3399 3914 4532 5016 5871 6798 7828 9064 11742 13596 15656 21527 23484 27192 43054 46968 64581 86108 129162 172216 225619 258324 451238 516648 676857 902476 1353714 1804952 2481809 2707428 4286761 4963618 5414856 7445427 8573522 9927236 12860283 14890854 17147044 19854472 23238757 25720566 29781708 34294088 46477514 47154371 51441132 59563416 69716271 92955028 94308742 102882264 139432542 141463113 185910056 188617484 255626327 278865084 282926226 377234968 441536383 511252654 557730168 565852452 766878981 883072766 1022505308 1131704904 1324609149 1533757962 1766145532 2045010616 2649218298 3067515924 3532291064 4856900213 5298436596 6135031848 9713800426 10596873192 14570700639 19427600852 29141401278 38855201704 58282802556 116565605112