Search a number
-
+
17000381452288 = 212131108328807
BaseRepresentation
bin1111011101100011010110…
…1100101001000000000000
32020012012221210222000101011
43313120311230221000000
54212013240122433123
6100053511210250304
73403144205036353
oct367306554510000
966165853860334
1017000381452288
115464904149093
121aa6955426994
1396418a800060
1442ab73c9c29a
151e7343d8ee0d
hexf7635b29000

17000381452288 has 104 divisors (see below), whose sum is σ = 36616310913728. Its totient is φ = 7845349588992.

The previous prime is 17000381452253. The next prime is 17000381452331. The reversal of 17000381452288 is 88225418300071.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590133181 + ... + 590161987.

It is an arithmetic number, because the mean of its divisors is an integer number (352079912632).

Almost surely, 217000381452288 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 17000381452288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308155456864).

17000381452288 is an abundant number, since it is smaller than the sum of its proper divisors (19615929461440).

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

17000381452288 is a wasteful number, since it uses less digits than its factorization.

17000381452288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39927 (or 39905 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 17000381452288 in words is "seventeen trillion, three hundred eighty-one million, four hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 11083 13312 22166 26624 28807 44332 53248 57614 88664 115228 144079 177328 230456 288158 354656 374491 460912 576316 709312 748982 921824 1152632 1418624 1497964 1843648 2305264 2837248 2995928 3687296 4610528 5674496 5991856 7374592 9221056 11348992 11983712 14749184 18442112 22697984 23967424 29498368 36884224 45395968 47934848 58996736 73768448 95869696 117993472 147536896 191739392 295073792 319267981 383478784 590147584 638535962 766957568 1277071924 1533915136 2554143848 4150483753 5108287696 8300967506 10216575392 16601935012 20433150784 33203870024 40866301568 66407740048 81732603136 132815480096 163465206272 265630960192 326930412544 531261920384 653860825088 1062523840768 1307721650176 2125047681536 4250095363072 8500190726144 17000381452288