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113622181437168 = 24327131335505689
BaseRepresentation
bin11001110101011010111001…
…110000110101111011110000
3112220022011201011221212112100
4121311122321300311323300
5104343041211421442133
61041353150510500400
732634634401652665
oct3165327160657360
9486264634855470
10113622181437168
113322699532a518
12108b08a6804700
134b526ab0688c1
14200b4b2daba6c
15d208912e1e13
hex6756b9c35ef0

113622181437168 has 120 divisors (see below), whose sum is σ = 323493193726560. Its totient is φ = 37221322844160.

The previous prime is 113622181437151. The next prime is 113622181437187. The reversal of 113622181437168 is 861734181226311.

113622181437168 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 22 + 181 + 437 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×1136221814371682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14552733 + ... + 20952956.

It is an arithmetic number, because the mean of its divisors is an integer number (2695776614388).

Almost surely, 2113622181437168 is an apocalyptic number.

113622181437168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113622181437168 is an abundant number, since it is smaller than the sum of its proper divisors (209871012289392).

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

113622181437168 is a wasteful number, since it uses less digits than its factorization.

113622181437168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35506087 (or 35506078 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 113622181437168 in words is "one hundred thirteen trillion, six hundred twenty-two billion, one hundred eighty-one million, four hundred thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 313 426 568 626 639 852 939 1136 1252 1278 1704 1878 2504 2556 2817 3408 3756 5008 5112 5634 7512 10224 11268 15024 22223 22536 44446 45072 66669 88892 133338 177784 200007 266676 355568 400014 533352 800028 1066704 1600056 3200112 35505689 71011378 106517067 142022756 213034134 284045512 319551201 426068268 568091024 639102402 852136536 1278204804 1704273072 2520903919 2556409608 5041807838 5112819216 7562711757 10083615676 11113280657 15125423514 20167231352 22226561314 22688135271 30250847028 33339841971 40334462704 44453122628 45376270542 60501694056 66679683942 88906245256 90752541084 100019525913 121003388112 133359367884 177812490512 181505082168 200039051826 266718735768 363010164336 400078103652 533437471536 789042926647 800156207304 1578085853294 1600312414608 2367128779941 3156171706588 4734257559882 6312343413176 7101386339823 9468515119764 12624686826352 14202772679646 18937030239528 28405545359292 37874060479056 56811090718584 113622181437168