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82814724048 = 24372310716191
BaseRepresentation
bin100110100100000100…
…1000110011111010000
321220202111111212111210
41031020021012133100
52324101032132143
6102013342540120
75661140353110
oct1151011063720
9256674455453
1082814724048
1132137830a01
1214072597640
137a6a318bc4
144018913040
15224a666033
hex13482467d0

82814724048 has 80 divisors (see below), whose sum is σ = 255131099136. Its totient is φ = 22632593280.

The previous prime is 82814724023. The next prime is 82814724061. The reversal of 82814724048 is 84042741828.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 82814723988 and 82814724006.

It is a congruent number.

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, 5350368 + ... + 5365823.

Almost surely, 282814724048 is an apocalyptic number.

It is an amenable number.

82814724048 is an abundant number, since it is smaller than the sum of its proper divisors (172316375088).

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

82814724048 is a wasteful number, since it uses less digits than its factorization.

82814724048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716232 (or 10716226 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 48.

The spelling of 82814724048 in words is "eighty-two billion, eight hundred fourteen million, seven hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 10716191 21432382 32148573 42864764 64297146 75013337 85729528 128594292 150026674 171459056 225040011 246472393 257188584 300053348 450080022 492944786 514377168 600106696 739417179 900160044 985889572 1200213392 1478834358 1725306751 1800320088 1971779144 2957668716 3450613502 3600640176 3943558288 5175920253 5915337432 6901227004 10351840506 11830674864 13802454008 20703681012 27604908016 41407362024 82814724048