Search a number
-
+
20484367596 = 223271158712589
BaseRepresentation
bin10011000100111101…
…101010010011101100
31221212120221200200100
4103010331222103230
5313422444230341
613224351031100
71323423152220
oct230475522354
957776850610
1020484367596
118761989620
123b7820b490
131c15b48594
14dc476c780
157ed5473b6
hex4c4f6a4ec

20484367596 has 144 divisors (see below), whose sum is σ = 64671909120. Its totient is φ = 5311128960.

The previous prime is 20484367567. The next prime is 20484367597. The reversal of 20484367596 is 69576348402.

20484367596 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 43 + 6 + 7 + 596 = 666.

It is not an unprimeable number, because it can be changed into a prime (20484367597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1620870 + ... + 1633458.

It is an arithmetic number, because the mean of its divisors is an integer number (449110480).

Almost surely, 220484367596 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 20484367596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335954560).

20484367596 is an abundant number, since it is smaller than the sum of its proper divisors (44187541524).

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

20484367596 is a wasteful number, since it uses less digits than its factorization.

20484367596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13204 (or 13199 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 20484367596 in words is "twenty billion, four hundred eighty-four million, three hundred sixty-seven thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 587 693 924 1174 1386 1761 2348 2772 3522 4109 5283 6457 7044 8218 10566 12327 12589 12914 16436 19371 21132 24654 25178 25828 36981 37767 38742 45199 49308 50356 58113 73962 75534 77484 88123 90398 113301 116226 135597 138479 147924 151068 176246 180796 226602 232452 264369 271194 276958 352492 406791 415437 453204 528738 542388 553916 793107 813582 830874 969353 1057476 1246311 1586214 1627164 1661748 1938706 2492622 2908059 3172428 3877412 4985244 5816118 7389743 8724177 11632236 14779486 17448354 22169229 29558972 34896708 44338458 51728201 66507687 81287173 88676916 103456402 133015374 155184603 162574346 206912804 243861519 266030748 310369206 325148692 465553809 487723038 569010211 620738412 731584557 931107618 975446076 1138020422 1463169114 1707030633 1862215236 2276040844 2926338228 3414061266 5121091899 6828122532 10242183798 20484367596