Base | Representation |
---|---|
bin | 10100000010100… |
… | …11010111010000 |
3 | 102201100001112020 |
4 | 22001103113100 |
5 | 321014113431 |
6 | 24403131440 |
7 | 4110641106 |
oct | 1201232720 |
9 | 381301466 |
10 | 168113616 |
11 | 86994280 |
12 | 48373b80 |
13 | 28aa1818 |
14 | 18481c76 |
15 | eb5b696 |
hex | a0535d0 |
168113616 has 80 divisors (see below), whose sum is σ = 476540928. Its totient is φ = 50646400.
The previous prime is 168113611. The next prime is 168113639. The reversal of 168113616 is 616311861.
168113616 is a nontrivial binomial coefficient, being equal to C(18337, 2).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (168113611) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100015 + ... + 101681.
Almost surely, 2168113616 is an apocalyptic number.
168113616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
168113616 is the 18336-th triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 168113616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238270464).
168113616 is an abundant number, since it is smaller than the sum of its proper divisors (308427312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168113616 is a wasteful number, since it uses less digits than its factorization.
168113616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1880 (or 1874 counting only the distinct ones).
The product of its digits is 5184, while the sum is 33.
The square root of 168113616 is about 12965.8634884068. The cubic root of 168113616 is about 551.9091953133.
The spelling of 168113616 in words is "one hundred sixty-eight million, one hundred thirteen thousand, six hundred sixteen".
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