Base | Representation |
---|---|
bin | 1010010001111011110011… |
… | …10111011010011000010000 |
3 | 2222001011012212222202102000 |
4 | 11020331321313122120100 |
5 | 10430341011101313302 |
6 | 120025132502554000 |
7 | 4522156042542600 |
oct | 510757167323020 |
9 | 88034185882360 |
10 | 22606457447952 |
11 | 7226387975664 |
12 | 2651348a38900 |
13 | c7ca1a278111 |
14 | 58223083ac00 |
15 | 2930a4a7931c |
hex | 148f79dda610 |
22606457447952 has 480 divisors, whose sum is σ = 77908381401600. Its totient is φ = 6254721462528.
The previous prime is 22606457447927. The next prime is 22606457447953. The reversal of 22606457447952 is 25974475460622.
22606457447952 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 6 + 4 + 574 + 4 + 7 + 9 + 52 = 666.
It is a super-2 number, since 2×226064574479522 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 22606457447952.
It is not an unprimeable number, because it can be changed into a prime (22606457447953) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83542023 + ... + 83812185.
It is an arithmetic number, because the mean of its divisors is an integer number (162309127920).
Almost surely, 222606457447952 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 22606457447952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38954190700800).
22606457447952 is an abundant number, since it is smaller than the sum of its proper divisors (55301923953648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22606457447952 is a wasteful number, since it uses less digits than its factorization.
22606457447952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 270320 (or 270301 counting only the distinct ones).
The product of its (nonzero) digits is 203212800, while the sum is 63.
The spelling of 22606457447952 in words is "twenty-two trillion, six hundred six billion, four hundred fifty-seven million, four hundred forty-seven thousand, nine hundred fifty-two".
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