| Base | Representation |
|---|---|
| bin | 11010100011110111100001… |
| … | …111111111011101100000000 |
| 3 | 120022121022101201000201111000 |
| 4 | 122203313201333323230000 |
| 5 | 110302340101344314324 |
| 6 | 1052235341344052000 |
| 7 | 33414351146104200 |
| oct | 3243674177735400 |
| 9 | 508538351021430 |
| 10 | 116814017182464 |
| 11 | 34247601400a58 |
| 12 | 1112740a004000 |
| 13 | 502468c624614 |
| 14 | 20bbb85962400 |
| 15 | d789023669c9 |
| hex | 6a3de1ffbb00 |
116814017182464 has 1728 divisors, whose sum is σ = 429971562316800. Its totient is φ = 31133284761600.
The previous prime is 116814017182459. The next prime is 116814017182487. The reversal of 116814017182464 is 464281710418611.
116814017182464 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 4 + 0 + 171 + 8 + 2 + 464 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×1168140171824642 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 116814017182464.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43088902069 + ... + 43088904779.
It is an arithmetic number, because the mean of its divisors is an integer number (248826135600).
Almost surely, 2116814017182464 is an apocalyptic number.
116814017182464 is a gapful number since it is divisible by the number (14) 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 116814017182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214985781158400).
116814017182464 is an abundant number, since it is smaller than the sum of its proper divisors (313157545134336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116814017182464 is a wasteful number, since it uses less digits than its factorization.
116814017182464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2927 (or 2900 counting only the distinct ones).
The product of its (nonzero) digits is 2064384, while the sum is 54.
The spelling of 116814017182464 in words is "one hundred sixteen trillion, eight hundred fourteen billion, seventeen million, one hundred eighty-two thousand, four hundred sixty-four".
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