Base | Representation |
---|---|
bin | 100000101011101010110… |
… | …011101011110110100000 |
3 | 21221201002111022100222100 |
4 | 200223222303223312200 |
5 | 243244112030033031 |
6 | 4435431412010400 |
7 | 321155541646203 |
oct | 40535263536640 |
9 | 7851074270870 |
10 | 2245912346016 |
11 | 796538a720a9 |
12 | 303333600a00 |
13 | 133a337c16a1 |
14 | 7a9ba45193a |
15 | 3d64c009de6 |
hex | 20aeacebda0 |
2245912346016 has 72 divisors (see below), whose sum is σ = 6391008056160. Its totient is φ = 748145748096.
The previous prime is 2245912346011. The next prime is 2245912346057. The reversal of 2245912346016 is 6106432195422.
2245912346016 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 9 + 1 + 2 + 34 + 601 + 6 = 666.
2245912346016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×22459123460162 (a number of 26 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2245912346011) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121556 + ... + 2998803.
It is an arithmetic number, because the mean of its divisors is an integer number (88764000780).
Almost surely, 22245912346016 is an apocalyptic number.
It is an amenable number.
2245912346016 is an abundant number, since it is smaller than the sum of its proper divisors (4145095710144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2245912346016 is a wasteful number, since it uses less digits than its factorization.
2245912346016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5121898 (or 5121887 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 2245912346016 in words is "two trillion, two hundred forty-five billion, nine hundred twelve million, three hundred forty-six thousand, sixteen".
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