Search a number
-
+
6874750714000 = 2453131991328711
BaseRepresentation
bin110010000001010011100…
…0100110000000010010000
3220100012221012100000012211
41210002213010300002100
51400113442140322000
622342114502401504
71306453505621041
oct144024704600220
926305835300184
106874750714000
11221062460aa34
12930458130294
133ab394a5cc90
1419aa4da9a8c8
15bdc6499e7ba
hex640a7130090

6874750714000 has 160 divisors (see below), whose sum is σ = 17991823449600. Its totient is φ = 2525611968000.

The previous prime is 6874750713973. The next prime is 6874750714001. The reversal of 6874750714000 is 4170574786.

It is not an unprimeable number, because it can be changed into a prime (6874750714001) by changing a digit.

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, 4509645 + ... + 5838355.

It is an arithmetic number, because the mean of its divisors is an integer number (112448896560).

Almost surely, 26874750714000 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 6874750714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995911724800).

6874750714000 is an abundant number, since it is smaller than the sum of its proper divisors (11117072735600).

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

6874750714000 is a wasteful number, since it uses less digits than its factorization.

6874750714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328946 (or 1328930 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 49.

The spelling of 6874750714000 in words is "six trillion, eight hundred seventy-four billion, seven hundred fifty million, seven hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 199 200 208 250 260 325 398 400 500 520 650 796 995 1000 1040 1300 1592 1625 1990 2000 2587 2600 3184 3250 3980 4975 5174 5200 6500 7960 9950 10348 12935 13000 15920 19900 20696 24875 25870 26000 39800 41392 49750 51740 64675 79600 99500 103480 129350 199000 206960 258700 323375 398000 517400 646750 1034800 1293500 1328711 2587000 2657422 5174000 5314844 6643555 10629688 13287110 17273243 21259376 26574220 33217775 34546486 53148440 66435550 69092972 86366215 106296880 132871100 138185944 166088875 172732430 264413489 265742200 276371888 332177750 345464860 431831075 528826978 531484400 664355500 690929720 863662150 1057653956 1322067445 1328711000 1381859440 1727324300 2115307912 2159155375 2644134890 2657422000 3437375357 3454648600 4230615824 4318310750 5288269780 6610337225 6874750714 6909297200 8636621500 10576539560 13220674450 13749501428 17186876785 17273243000 21153079120 26441348900 27499002856 33051686125 34373753570 34546486000 52882697800 54998005712 66103372250 68747507140 85934383925 105765395600 132206744500 137495014280 171868767850 264413489000 274990028560 343737535700 429671919625 528826978000 687475071400 859343839250 1374950142800 1718687678500 3437375357000 6874750714000