Base | Representation |
---|---|
bin | 11001100100001001… |
… | …00110110000000000 |
3 | 1022102111221201022122 |
4 | 30302010212300000 |
5 | 211102043014414 |
6 | 10145525423412 |
7 | 664055214515 |
oct | 146204466000 |
9 | 38374851278 |
10 | 13724969984 |
11 | 590342a100 |
12 | 27b056ab68 |
13 | 13a964471b |
14 | 942b6330c |
15 | 554e07b8e |
hex | 332126c00 |
13724969984 has 66 divisors (see below), whose sum is σ = 30157787772. Its totient is φ = 6238566400.
The previous prime is 13724969981. The next prime is 13724970037. The reversal of 13724969984 is 48996942731.
It is not an unprimeable number, because it can be changed into a prime (13724969981) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68519 + ... + 179289.
Almost surely, 213724969984 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 13724969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078893886).
13724969984 is an abundant number, since it is smaller than the sum of its proper divisors (16432817788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13724969984 is a wasteful number, since it uses less digits than its factorization.
13724969984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 110813 (or 110784 counting only the distinct ones).
The product of its digits is 23514624, while the sum is 62.
The spelling of 13724969984 in words is "thirteen billion, seven hundred twenty-four million, nine hundred sixty-nine thousand, nine hundred eighty-four".
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