Base | Representation |
---|---|
bin | 1111010000000000010000… |
… | …00100010101001000000000 |
3 | 11101201221022112110020012221 |
4 | 13220000020010111020000 |
5 | 13343420132420000000 |
6 | 155153513201300424 |
7 | 10030561336521514 |
oct | 750001004251000 |
9 | 141657275406187 |
10 | 33535240000000 |
11 | a75a240799872 |
12 | 3917430034714 |
13 | 1593489c6170b |
14 | 83d185808144 |
15 | 3d24ddcdc61a |
hex | 1e8008115200 |
33535240000000 has 320 divisors, whose sum is σ = 83958913580256. Its totient is φ = 13381632000000.
The previous prime is 33535239999991. The next prime is 33535240000021. The reversal of 33535240000000 is 4253533.
It is a happy number.
It can be written as a sum of positive squares in 16 ways, for example, as 24041840949504 + 9493399050496 = 4903248^2 + 3081136^2 .
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×335352400000002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a self number, because there is not a number n which added to its sum of digits gives 33535240000000.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 23079999274 + ... + 23080000726.
Almost surely, 233535240000000 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 33535240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41979456790128).
33535240000000 is an abundant number, since it is smaller than the sum of its proper divisors (50423673580256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33535240000000 is an frugal number, since it uses more digits than its factorization.
33535240000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2083 (or 2037 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 25.
Adding to 33535240000000 its reverse (4253533), we get a palindrome (33535244253533).
The spelling of 33535240000000 in words is "thirty-three trillion, five hundred thirty-five billion, two hundred forty million", and thus it is an aban number.
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