Base | Representation |
---|---|
bin | 10010010111001110… |
… | …100100011110100000 |
3 | 1212220010002211101100 |
4 | 102113032210132200 |
5 | 310340031020344 |
6 | 13020300434400 |
7 | 1265415100416 |
oct | 222716443640 |
9 | 55803084340 |
10 | 19717048224 |
11 | 83a883a185 |
12 | 39a3248a00 |
13 | 1b22b98853 |
14 | d508ad2b6 |
15 | 7a5ec8569 |
hex | 4973a47a0 |
19717048224 has 144 divisors (see below), whose sum is σ = 56507226048. Its totient is φ = 6521389056.
The previous prime is 19717048207. The next prime is 19717048249. The reversal of 19717048224 is 42284071791.
19717048224 is a `hidden beast` number, since 19 + 71 + 70 + 482 + 24 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a self number, because there is not a number n which added to its sum of digits gives 19717048224.
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, 36045519 + ... + 36046065.
It is an arithmetic number, because the mean of its divisors is an integer number (392411292).
Almost surely, 219717048224 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 19717048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28253613024).
19717048224 is an abundant number, since it is smaller than the sum of its proper divisors (36790177824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19717048224 is a wasteful number, since it uses less digits than its factorization.
19717048224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1307 (or 1296 counting only the distinct ones).
The product of its (nonzero) digits is 225792, while the sum is 45.
The spelling of 19717048224 in words is "nineteen billion, seven hundred seventeen million, forty-eight thousand, two hundred twenty-four".
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