Base | Representation |
---|---|
bin | 11001010100001001111… |
… | …10101011111000011000 |
3 | 10002011010212021200112200 |
4 | 30222010332223320120 |
5 | 103222334442401333 |
6 | 1503330501410200 |
7 | 116561545400055 |
oct | 14520476537030 |
9 | 3064125250480 |
10 | 869814418968 |
11 | 305982622010 |
12 | 1206ab109960 |
13 | 6403bb17a61 |
14 | 3015647002c |
15 | 1795c495c13 |
hex | ca84fabe18 |
869814418968 has 192 divisors, whose sum is σ = 2685663751680. Its totient is φ = 251741952000.
The previous prime is 869814418951. The next prime is 869814418981.
869814418968 is a `hidden beast` number, since 8 + 6 + 98 + 1 + 441 + 8 + 96 + 8 = 666.
869814418968 is nontrivially palindromic in base 10.
869814418968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 869814418896 and 869814418905.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12223893 + ... + 12294843.
It is an arithmetic number, because the mean of its divisors is an integer number (13987832040).
Almost surely, 2869814418968 is an apocalyptic number.
869814418968 is a gapful number since it is divisible by the number (88) 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 869814418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342831875840).
869814418968 is an abundant number, since it is smaller than the sum of its proper divisors (1815849332712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
869814418968 is a wasteful number, since it uses less digits than its factorization.
869814418968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71670 (or 71663 counting only the distinct ones).
The product of its digits is 191102976, while the sum is 72.
The spelling of 869814418968 in words is "eight hundred sixty-nine billion, eight hundred fourteen million, four hundred eighteen thousand, nine hundred sixty-eight".
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