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82765040160 = 25351115675197
BaseRepresentation
bin100110100010100101…
…1100100101000100000
321220122001000200000210
41031011023210220200
52324000322241120
6102004410014120
75656665143115
oct1150513445040
9256561020023
1082765040160
1132111786740
1214059a17340
137a5cc4165a
14401209c90c
1522460eece0
hex13452e4a20

82765040160 has 96 divisors (see below), whose sum is σ = 284410792512. Its totient is φ = 20064250880.

The previous prime is 82765040131. The next prime is 82765040213. The reversal of 82765040160 is 6104056728.

It is a tau number, because it is divible by the number of its divisors (96).

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, 7832319 + ... + 7842878.

It is an arithmetic number, because the mean of its divisors is an integer number (2962612422).

Almost surely, 282765040160 is an apocalyptic number.

82765040160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82765040160 is an abundant number, since it is smaller than the sum of its proper divisors (201645752352).

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

82765040160 is a wasteful number, since it uses less digits than its factorization.

82765040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675226 (or 15675218 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 82765040160 its reverse (6104056728), we get a palindrome (88869096888).

The spelling of 82765040160 in words is "eighty-two billion, seven hundred sixty-five million, forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 15675197 31350394 47025591 62700788 78375985 94051182 125401576 156751970 172427167 188102364 235127955 250803152 313503940 344854334 376204728 470255910 501606304 517281501 627007880 689708668 752409456 862135835 940511820 1034563002 1254015760 1379417336 1504818912 1724271670 1881023640 2069126004 2508031520 2586407505 2758834672 3448543340 3762047280 4138252008 5172815010 5517669344 6897086680 7524094560 8276504016 10345630020 13794173360 16553008032 20691260040 27588346720 41382520080 82765040160