Base | Representation |
---|---|
bin | 1101101110001110000… |
… | …1011000000000000000 |
3 | 211112111111120201012012 |
4 | 3123203201120000000 |
5 | 12330301311123242 |
6 | 300144442152052 |
7 | 23013663634313 |
oct | 3334341300000 |
9 | 745444521165 |
10 | 235745411072 |
11 | 90a85158646 |
12 | 398327b2628 |
13 | 192ccac19a2 |
14 | b5a55c697a |
15 | 61eb697282 |
hex | 36e3858000 |
235745411072 has 64 divisors (see below), whose sum is σ = 480383084160. Its totient is φ = 115647840256.
The previous prime is 235745411071. The next prime is 235745411137. The reversal of 235745411072 is 270114547532.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (235745411071) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1668833 + ... + 1804575.
It is an arithmetic number, because the mean of its divisors is an integer number (7505985690).
Almost surely, 2235745411072 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 235745411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240191542080).
235745411072 is an abundant number, since it is smaller than the sum of its proper divisors (244637673088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235745411072 is an frugal number, since it uses more digits than its factorization.
235745411072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 135826 (or 135798 counting only the distinct ones).
The product of its (nonzero) digits is 235200, while the sum is 41.
The spelling of 235745411072 in words is "two hundred thirty-five billion, seven hundred forty-five million, four hundred eleven thousand, seventy-two".
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