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82003314042 = 232132801125113
BaseRepresentation
bin100110001011111000…
…1110100010101111010
321211122221200222020100
41030113301310111322
52320420322022132
6101401035340230
75632055445216
oct1142761642572
9254587628210
1082003314042
1131860807621
1213a868b1676
13796b19c740
143d7cc57946
1521ee2d837c
hex1317c7457a

82003314042 has 48 divisors (see below), whose sum is σ = 191410907688. Its totient is φ = 25222579200.

The previous prime is 82003314031. The next prime is 82003314083. The reversal of 82003314042 is 24041330028.

It can be written as a sum of positive squares in 4 ways, for example, as 31247279361 + 50756034681 = 176769^2 + 225291^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82003313997 and 82003314015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592878 + ... + 717990.

Almost surely, 282003314042 is an apocalyptic number.

82003314042 is an abundant number, since it is smaller than the sum of its proper divisors (109407593646).

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

82003314042 is a wasteful number, since it uses less digits than its factorization.

82003314042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127935 (or 127932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 82003314042 in words is "eighty-two billion, three million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 2801 5602 8403 16806 25209 36413 50418 72826 109239 125113 218478 250226 327717 375339 655434 750678 1126017 1626469 2252034 3252938 4879407 9758814 14638221 29276442 350441513 700883026 1051324539 2102649078 3153973617 4555739669 6307947234 9111479338 13667219007 27334438014 41001657021 82003314042