Base | Representation |
---|---|
bin | 1001101011101000101000… |
… | …0100100001110011100000 |
3 | 1101200200020110021220002200 |
4 | 2122322022010201303200 |
5 | 2343402430310333321 |
6 | 34350205213213200 |
7 | 2146044050643306 |
oct | 232721204416340 |
9 | 41620213256080 |
10 | 10645245402336 |
11 | 3434694566006 |
12 | 123b153191200 |
13 | 5c2ac47b993c |
14 | 28b338482276 |
15 | 136d92025d26 |
hex | 9ae8a121ce0 |
10645245402336 has 144 divisors (see below), whose sum is σ = 30345293238624. Its totient is φ = 3539878060032.
The previous prime is 10645245402301. The next prime is 10645245402383. The reversal of 10645245402336 is 63320454254601.
10645245402336 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 52 + 4 + 540 + 23 + 36 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×106452454023362 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10645245402291 and 10645245402300.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451191756 + ... + 451215348.
It is an arithmetic number, because the mean of its divisors is an integer number (210731203046).
Almost surely, 210645245402336 is an apocalyptic number.
10645245402336 is a gapful number since it is divisible by the number (16) 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 10645245402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172646619312).
10645245402336 is an abundant number, since it is smaller than the sum of its proper divisors (19700047836288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10645245402336 is a wasteful number, since it uses less digits than its factorization.
10645245402336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27313 (or 27302 counting only the distinct ones).
The product of its (nonzero) digits is 2073600, while the sum is 45.
Adding to 10645245402336 its reverse (63320454254601), we get a palindrome (73965699656937).
The spelling of 10645245402336 in words is "ten trillion, six hundred forty-five billion, two hundred forty-five million, four hundred two thousand, three hundred thirty-six".
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