Base | Representation |
---|---|
bin | 11101101010000011101… |
… | …110011100110010000000 |
3 | 21012211111102122002100200 |
4 | 131222003232130302000 |
5 | 231342333232140422 |
6 | 4200131105445200 |
7 | 300146101223562 |
oct | 35520356346200 |
9 | 7184442562320 |
10 | 2038024490112 |
11 | 71635976a026 |
12 | 28ab96340800 |
13 | 11a253265670 |
14 | 708d8939332 |
15 | 3803133d2ac |
hex | 1da83b9cc80 |
2038024490112 has 1536 divisors, whose sum is σ = 7390105632000. Its totient is φ = 532030685184.
The previous prime is 2038024490069. The next prime is 2038024490179. The reversal of 2038024490112 is 2110944208302.
2038024490112 is a `hidden beast` number, since 2 + 0 + 38 + 0 + 24 + 490 + 112 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 10559712288 + ... + 10559712480.
Almost surely, 22038024490112 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 2038024490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695052816000).
2038024490112 is an abundant number, since it is smaller than the sum of its proper divisors (5352081141888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2038024490112 is a wasteful number, since it uses less digits than its factorization.
2038024490112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358 (or 343 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
Adding to 2038024490112 its reverse (2110944208302), we get a palindrome (4148968698414).
The spelling of 2038024490112 in words is "two trillion, thirty-eight billion, twenty-four million, four hundred ninety thousand, one hundred twelve".
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