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116116797666114 = 23374327132633207
BaseRepresentation
bin11010011001101110001100…
…011110100011001101000010
3120020010122202021111112021000
4122121232030132203031002
5110204424200200303424
61050543153114112430
733313106331023040
oct3231561436431502
9506118667445230
10116116797666114
1133aa894813a933
121103426871b716
134ca39c824069b
142096123a41390
15d656e74413c9
hex699b8c7a3342

116116797666114 has 128 divisors (see below), whose sum is σ = 301869279866880. Its totient is φ = 32392731192192.

The previous prime is 116116797666091. The next prime is 116116797666119. The reversal of 116116797666114 is 411666797611611.

It is a super-2 number, since 2×1161167976661142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116116797666119) 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 63 ways as a sum of consecutive naturals, for example, 42780499 + ... + 45413705.

It is an arithmetic number, because the mean of its divisors is an integer number (2358353748960).

Almost surely, 2116116797666114 is an apocalyptic number.

116116797666114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116116797666114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150934639933440).

116116797666114 is an abundant number, since it is smaller than the sum of its proper divisors (185752482200766).

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

116116797666114 is a wasteful number, since it uses less digits than its factorization.

116116797666114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635981 (or 2635975 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 116116797666114 in words is "one hundred sixteen trillion, one hundred sixteen billion, seven hundred ninety-seven million, six hundred sixty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2322 2709 2713 5418 5426 8127 8139 16254 16278 18991 24417 37982 48834 56973 73251 113946 116659 146502 170919 233318 341838 349977 512757 699954 816613 1025514 1049931 1633226 2099862 2449839 2633207 3149793 4899678 5266414 6299586 7349517 7899621 14699034 15799242 18432449 22048551 23698863 36864898 44097102 47397726 55297347 71096589 110594694 113227901 142193178 165892041 226455802 331784082 339683703 497676123 679367406 792595307 995352246 1019051109 1585190614 2038102218 2377785921 3057153327 4755571842 6114306654 7133357763 7143890591 14266715526 14287781182 21400073289 21431671773 42800146578 42863343546 50007234137 64295015319 100014468274 128590030638 150021702411 192885045957 300043404822 307187295413 385770091914 450065107233 614374590826 900130214466 921561886239 1350195321699 1843123772478 2150311067891 2700390643398 2764685658717 4300622135782 5529371317434 6450933203673 8294056976151 12901866407346 16588113952302 19352799611019 38705599222038 58058398833057 116116797666114