Base | Representation |
---|---|
bin | 111111101111101111… |
… | …101010110000100000 |
3 | 20112200011122200010000 |
4 | 333233233222300200 |
5 | 2110134332304333 |
6 | 51235523340000 |
7 | 4642113601026 |
oct | 775757526040 |
9 | 215604580100 |
10 | 68446759968 |
11 | 27034458924 |
12 | 11322821600 |
13 | 65ba704302 |
14 | 3454614716 |
15 | 1ba909b713 |
hex | fefbeac20 |
68446759968 has 120 divisors (see below), whose sum is σ = 202583389932. Its totient is φ = 22670129664.
The previous prime is 68446759967. The next prime is 68446760023. The reversal of 68446759968 is 86995764486.
It can be written as a sum of positive squares in 2 ways, for example, as 68064635664 + 382124304 = 260892^2 + 19548^2 .
It is a super-2 number, since 2×684467599682 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 68446759896 and 68446759905.
It is not an unprimeable number, because it can be changed into a prime (68446759967) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 322846 + ... + 491042.
Almost surely, 268446759968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 68446759968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101291694966).
68446759968 is an abundant number, since it is smaller than the sum of its proper divisors (134136629964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68446759968 is a wasteful number, since it uses less digits than its factorization.
68446759968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 168376 (or 168359 counting only the distinct ones).
The product of its digits is 627056640, while the sum is 72.
The spelling of 68446759968 in words is "sixty-eight billion, four hundred forty-six million, seven hundred fifty-nine thousand, nine hundred sixty-eight".
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