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82193647872 = 283723664739
BaseRepresentation
bin100110010001100011…
…1111000100100000000
321212011012211221011110
41030203013320210000
52321313033212442
6101431555043320
75636556323310
oct1144307704400
9255135757143
1082193647872
1131949198206
1213b1a5a0540
13799b7510cb
143d9a241440
152210d8369c
hex13231f8900

82193647872 has 144 divisors (see below), whose sum is σ = 260875883520. Its totient is φ = 22462826496.

The previous prime is 82193647859. The next prime is 82193647901. The reversal of 82193647872 is 27874639128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208722 + ... + 456017.

It is an arithmetic number, because the mean of its divisors is an integer number (1811638080).

Almost surely, 282193647872 is an apocalyptic number.

It is an amenable number.

82193647872 is an abundant number, since it is smaller than the sum of its proper divisors (178682235648).

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

82193647872 is a wasteful number, since it uses less digits than its factorization.

82193647872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664788 (or 664774 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The spelling of 82193647872 in words is "eighty-two billion, one hundred ninety-three million, six hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 20608 30912 41216 61824 123648 664739 1329478 1994217 2658956 3988434 4653173 5317912 7976868 9306346 10635824 13959519 15288997 15953736 18612692 21271648 27919038 30577994 31907472 37225384 42543296 45866991 55838076 61155988 63814944 74450768 85086592 91733982 107022979 111676152 122311976 127629888 148901536 170173184 183467964 214045958 223352304 244623952 255259776 297803072 321068937 366935928 428091916 446704608 489247904 510519552 595606144 642137874 733871856 856183832 893409216 978495808 1191212288 1284275748 1467743712 1712367664 1786818432 1956991616 2568551496 2935487424 3424735328 3573636864 3913983232 5137102992 5870974848 6849470656 10274205984 11741949696 13698941312 20548411968 27397882624 41096823936 82193647872