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111668205168 = 243213263226813
BaseRepresentation
bin110011111111111110…
…0011001011001110000
3101200020100102120122200
41213333330121121300
53312144030031133
6123144421103200
711032146040242
oct1477774313160
9350210376580
10111668205168
11433a3877373
1219785557b00
13a6b7cc3560
145594990092
152d887ba913
hex19fff19670

111668205168 has 120 divisors (see below), whose sum is σ = 337836731232. Its totient is φ = 34228652544.

The previous prime is 111668205067. The next prime is 111668205169. The reversal of 111668205168 is 861502866111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111668205169) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 378930 + ... + 605742.

Almost surely, 2111668205168 is an apocalyptic number.

111668205168 is a gapful number since it is divisible by the number (18) 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 111668205168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168918365616).

111668205168 is an abundant number, since it is smaller than the sum of its proper divisors (226168526064).

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

111668205168 is a wasteful number, since it uses less digits than its factorization.

111668205168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227103 (or 227094 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 111668205168 in words is "one hundred eleven billion, six hundred sixty-eight million, two hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 263 312 468 526 624 789 936 1052 1578 1872 2104 2367 3156 3419 4208 4734 6312 6838 9468 10257 12624 13676 18936 20514 27352 30771 37872 41028 54704 61542 82056 123084 164112 226813 246168 453626 492336 680439 907252 1360878 1814504 2041317 2721756 2948569 3629008 4082634 5443512 5897138 8165268 8845707 10887024 11794276 16330536 17691414 23588552 26537121 32661072 35382828 47177104 53074242 59651819 70765656 106148484 119303638 141531312 178955457 212296968 238607276 357910914 424593936 477214552 536866371 715821828 775473647 954429104 1073732742 1431643656 1550947294 2147465484 2326420941 2863287312 3101894588 4294930968 4652841882 6203789176 6979262823 8589861936 9305683764 12407578352 13958525646 18611367528 27917051292 37222735056 55834102584 111668205168