Base | Representation |
---|---|
bin | 1010000001101011110111… |
… | …10010110111000011000000 |
3 | 2220001210010001212001000200 |
4 | 11000311323302313003000 |
5 | 10342214044334414413 |
6 | 114520435541245200 |
7 | 4433632364212461 |
oct | 500657362670300 |
9 | 86053101761020 |
10 | 22048144060608 |
11 | 703062458a166 |
12 | 25810b2a03800 |
13 | c3c191c40123 |
14 | 5631c8b62d68 |
15 | 2837c9800573 |
hex | 140d7bcb70c0 |
22048144060608 has 336 divisors, whose sum is σ = 70104033552384. Its totient is φ = 6594018140160.
The previous prime is 22048144060603. The next prime is 22048144060609. The reversal of 22048144060608 is 80606044184022.
22048144060608 is a `hidden beast` number, since 2 + 20 + 4 + 8 + 14 + 4 + 0 + 6 + 0 + 608 = 666.
It is a super-2 number, since 2×220481440606082 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (22048144060603) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19795941 + ... + 20880027.
Almost surely, 222048144060608 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 22048144060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35052016776192).
22048144060608 is an abundant number, since it is smaller than the sum of its proper divisors (48055889491776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22048144060608 is a wasteful number, since it uses less digits than its factorization.
22048144060608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1084220 (or 1084207 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 45.
The spelling of 22048144060608 in words is "twenty-two trillion, forty-eight billion, one hundred forty-four million, sixty thousand, six hundred eight".
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