| Base | Representation |
|---|---|
| bin | 11001010000100001100… |
| … | …00001101110100100000 |
| 3 | 10001222002222002221201220 |
| 4 | 30220100300031310200 |
| 5 | 103204341301000033 |
| 6 | 1502405203255040 |
| 7 | 116462330161053 |
| oct | 14502060156440 |
| 9 | 3058088087656 |
| 10 | 867864468768 |
| 11 | 30507195a620 |
| 12 | 12024607a480 |
| 13 | 63abab4567b |
| 14 | 3000d4c2a9a |
| 15 | 178961bcbb3 |
| hex | ca10c0dd20 |
867864468768 has 384 divisors, whose sum is σ = 2727324069120. Its totient is φ = 238532689920.
The previous prime is 867864468767. The next prime is 867864468769.
867864468768 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (867864468767) and next prime (867864468769).
It is a super-2 number, since 2×8678644687682 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 867864468693 and 867864468702.
It is not an unprimeable number, because it can be changed into a prime (867864468767) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350367946 + ... + 350370422.
It is an arithmetic number, because the mean of its divisors is an integer number (7102406430).
Almost surely, 2867864468768 is an apocalyptic number.
867864468768 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 867864468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363662034560).
867864468768 is an abundant number, since it is smaller than the sum of its proper divisors (1859459600352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
867864468768 is a wasteful number, since it uses less digits than its factorization.
867864468768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3220 (or 3212 counting only the distinct ones).
The product of its digits is 4161798144, while the sum is 78.
It can be divided in two parts, 86786 and 4468768, that added together give a palindrome (4555554).
The spelling of 867864468768 in words is "eight hundred sixty-seven billion, eight hundred sixty-four million, four hundred sixty-eight thousand, seven hundred sixty-eight".
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