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83680249560 = 23352333918941
BaseRepresentation
bin100110111101110111…
…0110100011011011000
321222222211011010022020
41031323232310123120
52332334120441220
6102235302054440
76021450246105
oct1157356643330
9258884133266
1083680249560
1132541357046
121427441a420
137b77731a8b
14409b857aac
15229b633040
hex137bbb46d8

83680249560 has 128 divisors (see below), whose sum is σ = 262062120960. Its totient is φ = 21335846400.

The previous prime is 83680249529. The next prime is 83680249603. The reversal of 83680249560 is 6594208638.

It is a congruent number.

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, 9354690 + ... + 9363630.

It is an arithmetic number, because the mean of its divisors is an integer number (2047360320).

Almost surely, 283680249560 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 83680249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131031060480).

83680249560 is an abundant number, since it is smaller than the sum of its proper divisors (178381871400).

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

83680249560 is a wasteful number, since it uses less digits than its factorization.

83680249560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12369 (or 12365 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 83680249560 in words is "eighty-three billion, six hundred eighty million, two hundred forty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 3391 6782 8941 10173 13564 16955 17882 20346 26823 27128 33910 35764 40692 44705 50865 53646 67820 71528 77993 81384 89410 101730 107292 134115 135640 155986 178820 203460 205643 214584 233979 268230 311972 357640 389965 406920 411286 467958 536460 616929 623944 779930 822572 935916 1028215 1072920 1169895 1233858 1559860 1645144 1871832 2056430 2339790 2467716 3084645 3119720 4112860 4679580 4935432 6169290 8225720 9359160 12338580 24677160 30318931 60637862 90956793 121275724 151594655 181913586 242551448 303189310 363827172 454783965 606378620 697335413 727654344 909567930 1212757240 1394670826 1819135860 2092006239 2789341652 3486677065 3638271720 4184012478 5578683304 6973354130 8368024956 10460031195 13946708260 16736049912 20920062390 27893416520 41840124780 83680249560