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5681629128240 = 2432513607011659
BaseRepresentation
bin101001010101101101101…
…1111000110011000110000
3202010011021111120112201100
41102223123133012120300
51221041434024100430
620030034314204400
71124325031516602
oct122533337063060
922104244515640
105681629128240
1118a062458330a
1277917a123700
13322a1051a590
14158dc6cbd172
159cbd3ab2960
hex52adb7c6630

5681629128240 has 120 divisors (see below), whose sum is σ = 20548558714320. Its totient is φ = 1398554860032.

The previous prime is 5681629128191. The next prime is 5681629128271. The reversal of 5681629128240 is 428219261865.

5681629128240 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 629 + 1 + 2 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303496470 + ... + 303515189.

It is an arithmetic number, because the mean of its divisors is an integer number (171237989286).

Almost surely, 25681629128240 is an apocalyptic number.

It is an amenable number.

5681629128240 is an abundant number, since it is smaller than the sum of its proper divisors (14866929586080).

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

5681629128240 is a wasteful number, since it uses less digits than its factorization.

5681629128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607011691 (or 607011682 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 5681629128240 in words is "five trillion, six hundred eighty-one billion, six hundred twenty-nine million, one hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 607011659 1214023318 1821034977 2428046636 3035058295 3642069954 4856093272 5463104931 6070116590 7284139908 7891151567 9105174885 9712186544 10926209862 12140233180 14568279816 15782303134 18210349770 21852419724 23673454701 24280466360 27315524655 29136559632 31564606268 36420699540 39455757835 43704839448 47346909402 48560932720 54631049310 63129212536 71020364103 72841399080 78911515670 87409678896 94693818804 109262098620 118367273505 126258425072 142040728206 145682798160 157823031340 189387637608 218524197240 236734547010 284081456412 315646062680 355101820515 378775275216 437048394480 473469094020 568162912824 631292125360 710203641030 946938188040 1136325825648 1420407282060 1893876376080 2840814564120 5681629128240