Base | Representation |
---|---|
bin | 1101111010001001010… |
… | …0010110011011010100 |
3 | 211211202120220002020210 |
4 | 3132202110112123110 |
5 | 12403330242220022 |
6 | 301434231325420 |
7 | 23156213161632 |
oct | 3364224263324 |
9 | 754676802223 |
10 | 238946445012 |
11 | 92378047840 |
12 | 3a386820870 |
13 | 196c0033002 |
14 | b7ca7a0352 |
15 | 63376eba0c |
hex | 37a25166d4 |
238946445012 has 144 divisors (see below), whose sum is σ = 649996236288. Its totient is φ = 67738836480.
The previous prime is 238946444983. The next prime is 238946445019. The reversal of 238946445012 is 210544649832.
238946445012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (238946445019) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6351963 + ... + 6389469.
It is an arithmetic number, because the mean of its divisors is an integer number (4513862752).
Almost surely, 2238946445012 is an apocalyptic number.
238946445012 is a gapful number since it is divisible by the number (22) 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 238946445012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324998118144).
238946445012 is an abundant number, since it is smaller than the sum of its proper divisors (411049791276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238946445012 is a wasteful number, since it uses less digits than its factorization.
238946445012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37726 (or 37707 counting only the distinct ones).
The product of its (nonzero) digits is 1658880, while the sum is 48.
The spelling of 238946445012 in words is "two hundred thirty-eight billion, nine hundred forty-six million, four hundred forty-five thousand, twelve".
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