Base | Representation |
---|---|
bin | 111110101111110001… |
… | …001110101000000000 |
3 | 20102220100222201100112 |
4 | 332233301032220000 |
5 | 2100440044132300 |
6 | 50541222210452 |
7 | 4603401453002 |
oct | 765761165000 |
9 | 212810881315 |
10 | 67373427200 |
11 | 266335a8052 |
12 | 11083283a28 |
13 | 647922c671 |
14 | 3391c58372 |
15 | 1b44c31e35 |
hex | fafc4ea00 |
67373427200 has 120 divisors (see below), whose sum is σ = 168801322140. Its totient is φ = 26646118400.
The previous prime is 67373427197. The next prime is 67373427221. The reversal of 67373427200 is 272437376.
67373427200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 17776355584 + 49597071616 = 133328^2 + 222704^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1109630 + ... + 1168770.
Almost surely, 267373427200 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 67373427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84400661070).
67373427200 is an abundant number, since it is smaller than the sum of its proper divisors (101427894940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67373427200 is an equidigital number, since it uses as much as digits as its factorization.
67373427200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59258 (or 59237 counting only the distinct ones).
The product of its (nonzero) digits is 296352, while the sum is 41.
The spelling of 67373427200 in words is "sixty-seven billion, three hundred seventy-three million, four hundred twenty-seven thousand, two hundred".
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