Search a number
-
+
824493202394428 = 227534909113177513
BaseRepresentation
bin1011101101110111110100100…
…0011100101100110100111100
311000010021210001220000000021201
42323131331020130230310330
51331031444034303110203
612041314540453105244
7335444445111042340
oct27335751034546474
94003253056000251
10824493202394428
11219788670292746
1278580381328224
13295094b5904bb8
141078598095d620
15654be61045e1d
hex2eddf4872cd3c

824493202394428 has 48 divisors (see below), whose sum is σ = 1680441619469760. Its totient is φ = 346616542831104.

The previous prime is 824493202394293. The next prime is 824493202394441.

824493202394428 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 824493202394428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49303801 + ... + 63873712.

It is an arithmetic number, because the mean of its divisors is an integer number (35009200405620).

Almost surely, 2824493202394428 is an apocalyptic number.

It is an amenable number.

824493202394428 is an abundant number, since it is smaller than the sum of its proper divisors (855948417075332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

824493202394428 is a wasteful number, since it uses less digits than its factorization.

824493202394428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113182486 (or 113182484 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 64.

The spelling of 824493202394428 in words is "eight hundred twenty-four trillion, four hundred ninety-three billion, two hundred two million, three hundred ninety-four thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1484 4909 9818 19636 34363 68726 137452 260177 520354 1040708 1821239 3642478 7284956 113177513 226355026 452710052 792242591 1584485182 3168970364 5998408189 11996816378 23993632756 41988857323 83977714646 167955429292 555588411317 1111176822634 2222353645268 3889118879219 7778237758438 15556475516876 29446185799801 58892371599602 117784743199204 206123300598607 412246601197214 824493202394428