Search a number
-
+
26849785872 = 24371340115329
BaseRepresentation
bin11001000000010111…
…110011100000010000
32120022012121102222210
4121000113303200100
5414442021121442
620200140032120
71640235262050
oct310027634020
976265542883
1026849785872
1110429005588
125253b32640
1326bb838380
141429cdd560
15a722b219c
hex6405f3810

26849785872 has 160 divisors (see below), whose sum is σ = 85587022080. Its totient is φ = 7063142400.

The previous prime is 26849785867. The next prime is 26849785883. The reversal of 26849785872 is 27858794862.

It is a super-2 number, since 2×268497858722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743904 + ... + 1759232.

It is an arithmetic number, because the mean of its divisors is an integer number (534918888).

Almost surely, 226849785872 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 26849785872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793511040).

26849785872 is an abundant number, since it is smaller than the sum of its proper divisors (58737236208).

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

26849785872 is a wasteful number, since it uses less digits than its factorization.

26849785872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15761 (or 15755 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 66.

The spelling of 26849785872 in words is "twenty-six billion, eight hundred forty-nine million, seven hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 401 546 624 728 802 1092 1203 1456 1604 2184 2406 2807 3208 4368 4812 5213 5614 6416 8421 9624 10426 11228 15329 15639 16842 19248 20852 22456 30658 31278 33684 36491 41704 44912 45987 61316 62556 67368 72982 83408 91974 107303 109473 122632 125112 134736 145964 183948 199277 214606 218946 245264 250224 291928 321909 367896 398554 429212 437892 583856 597831 643818 735792 797108 858424 875784 1195662 1287636 1394939 1594216 1716848 1751568 2391324 2575272 2789878 3188432 4184817 4782648 5150544 5579756 6146929 8369634 9565296 11159512 12293858 16739268 18440787 22319024 24587716 33478536 36881574 43028503 49175432 66957072 73763148 79910077 86057006 98350864 129085509 147526296 159820154 172114012 239730231 258171018 295052592 319640308 344228024 479460462 516342036 559370539 639280616 688456048 958920924 1032684072 1118741078 1278561232 1678111617 1917841848 2065368144 2237482156 3356223234 3835683696 4474964312 6712446468 8949928624 13424892936 26849785872