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27853405484848 = 24231274578771487
BaseRepresentation
bin1100101010101001000000…
…10101101111011100110000
310122121202111201101221121221
412111110200111233130300
512122322233301003343
6135123402224554424
75603225232150136
oct625244025573460
9118552451357557
1027853405484848
118969621294309
12315a215182a14
131270746021c28
146c417d543756
153347e71a95ed
hex19552056f730

27853405484848 has 160 divisors (see below), whose sum is σ = 56983068278784. Its totient is φ = 13163487676416.

The previous prime is 27853405484803. The next prime is 27853405484959. The reversal of 27853405484848 is 84848450435872.

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, 18731273961 + ... + 18731275447.

Almost surely, 227853405484848 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 27853405484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28491534139392).

27853405484848 is an abundant number, since it is smaller than the sum of its proper divisors (29129662793936).

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

27853405484848 is a wasteful number, since it uses less digits than its factorization.

27853405484848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 1101004800, while the sum is 70.

The spelling of 27853405484848 in words is "twenty-seven trillion, eight hundred fifty-three billion, four hundred five million, four hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 92 127 184 254 368 457 508 877 914 1016 1487 1754 1828 2032 2921 2974 3508 3656 5842 5948 7016 7312 10511 11684 11896 14032 20171 21022 23368 23792 34201 40342 42044 46736 58039 68402 80684 84088 111379 116078 136804 161368 168176 188849 222758 232156 273608 322736 377698 400789 445516 464312 547216 679559 755396 801578 891032 928624 1304099 1334897 1359118 1510792 1603156 1782064 2561717 2608198 2669794 2718236 3021584 3206312 4343527 5123434 5216396 5339588 5436472 6412624 8687054 9218147 10246868 10432792 10679176 10872944 15629857 17374108 18436294 20493736 20865584 21358352 29994277 31259714 34748216 36872588 40987472 50900203 59988554 62519428 69496432 73745176 86303993 101800406 119977108 125038856 147490352 165620573 172607986 203600812 239954216 250077712 331241146 345215972 407201624 479908432 595973243 662482292 690431944 814403248 1170704669 1191946486 1324964584 1380863888 1984991839 2341409338 2383892972 2649929168 3809273179 3969983678 4682818676 4767785944 7618546358 7939967356 9365637352 9535571888 13707384589 15237092716 15879934712 18731274704 27414769178 30474185432 31759869424 54829538356 60948370864 75688601861 109659076712 151377203722 219318153424 302754407444 605508814888 1211017629776 1740837842803 3481675685606 6963351371212 13926702742424 27853405484848