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17982543102208 = 282323313107727
BaseRepresentation
bin1000001011010111000110…
…00110000000000100000000
32100200010002100101100211121
410011223203012000010000
54324111222013232313
6102125022151122024
73534124116234016
oct405534306000400
970603070340747
1017982543102208
1158033988605a3
122025179373314
13a059921b5a59
144625071568b6
15212b7952e28d
hex105ae3180100

17982543102208 has 72 divisors (see below), whose sum is σ = 37616243228928. Its totient is φ = 8563434688512.

The previous prime is 17982543102179. The next prime is 17982543102239. The reversal of 17982543102208 is 80220134528971.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5181960 + ... + 7925767.

It is an arithmetic number, because the mean of its divisors is an integer number (522447822624).

Almost surely, 217982543102208 is an apocalyptic number.

It is an amenable number.

17982543102208 is an abundant number, since it is smaller than the sum of its proper divisors (19633700126720).

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

17982543102208 is a wasteful number, since it uses less digits than its factorization.

17982543102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13107999 (or 13107985 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 17982543102208 in words is "seventeen trillion, nine hundred eighty-two billion, five hundred forty-three million, one hundred two thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 233 256 368 466 736 932 1472 1864 2944 3728 5359 5888 7456 10718 14912 21436 29824 42872 59648 85744 171488 342976 685952 1371904 13107727 26215454 52430908 104861816 209723632 301477721 419447264 602955442 838894528 1205910884 1677789056 2411821768 3054100391 3355578112 4823643536 6108200782 9647287072 12216401564 19294574144 24432803128 38589148288 48865606256 70244308993 77178296576 97731212512 140488617986 195462425024 280977235972 390924850048 561954471944 781849700096 1123908943888 2247817887776 4495635775552 8991271551104 17982543102208