Search a number
-
+
2200286746896 = 2437101109594829
BaseRepresentation
bin100000000001001011010…
…011110101100100010000
321210100022202200210020220
4200001023103311210100
5242022141401400041
64402444153033040
7314652104522610
oct40011323654420
97710282623226
102200286746896
11779155564197
122b651b6b5780
1312c6420c0b64
14786cca94a40
153c37b6e3d66
hex2004b4f5910

2200286746896 has 160 divisors (see below), whose sum is σ = 6620600659200. Its totient is φ = 616717670400.

The previous prime is 2200286746843. The next prime is 2200286746901. The reversal of 2200286746896 is 6986476820022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3401610 + ... + 3996438.

It is an arithmetic number, because the mean of its divisors is an integer number (41378754120).

Almost surely, 22200286746896 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 2200286746896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310300329600).

2200286746896 is an abundant number, since it is smaller than the sum of its proper divisors (4420313912304).

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

2200286746896 is a wasteful number, since it uses less digits than its factorization.

2200286746896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595057 (or 595051 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 2200286746896 in words is "two trillion, two hundred billion, two hundred eighty-six million, seven hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 109 112 168 202 218 303 327 336 404 436 606 654 707 763 808 872 1212 1308 1414 1526 1616 1744 2121 2289 2424 2616 2828 3052 4242 4578 4848 5232 5656 6104 8484 9156 11009 11312 12208 16968 18312 22018 33027 33936 36624 44036 66054 77063 88072 132108 154126 176144 231189 264216 308252 462378 528432 594829 616504 924756 1189658 1233008 1784487 1849512 2379316 3568974 3699024 4163803 4758632 7137948 8327606 9517264 12491409 14275896 16655212 24982818 28551792 33310424 49965636 60077729 64836361 66620848 99931272 120155458 129672722 180233187 194509083 199862544 240310916 259345444 360466374 389018166 420544103 453854527 480621832 518690888 720932748 778036332 841088206 907709054 961243664 1037381776 1261632309 1361563581 1441865496 1556072664 1682176412 1815418108 2523264618 2723127162 2883730992 3112145328 3364352824 3630836216 5046529236 5446254324 6548472461 6728705648 7261672432 10093058472 10892508648 13096944922 19645417383 20186116944 21785017296 26193889844 39290834766 45839307227 52387779688 78581669532 91678614454 104775559376 137517921681 157163339064 183357228908 275035843362 314326678128 366714457816 550071686724 733428915632 1100143373448 2200286746896