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82731320826 = 237111273914057
BaseRepresentation
bin100110100001100101…
…0111100010111111010
321220112200120112210120
41031003022330113322
52323413204231301
6102001203154110
75656105424040
oct1150312742772
9256480515716
1082731320826
11320a4745920
121404a675936
137a55c6679b
14400b802390
15224318de36
hex13432bc5fa

82731320826 has 64 divisors (see below), whose sum is σ = 206321955840. Its totient is φ = 21485439360.

The previous prime is 82731320809. The next prime is 82731320831. The reversal of 82731320826 is 62802313728.

It is a super-2 number, since 2×827313208262 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5878390 + ... + 5892446.

It is an arithmetic number, because the mean of its divisors is an integer number (3223780560).

Almost surely, 282731320826 is an apocalyptic number.

82731320826 is an abundant number, since it is smaller than the sum of its proper divisors (123590635014).

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

82731320826 is a wasteful number, since it uses less digits than its factorization.

82731320826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26819.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 82731320826 in words is "eighty-two billion, seven hundred thirty-one million, three hundred twenty thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 12739 14057 25478 28114 38217 42171 76434 84342 89173 98399 140129 154627 178346 196798 267519 280258 295197 309254 420387 463881 535038 590394 840774 927762 980903 1082389 1961806 2164778 2942709 3247167 5885418 6494334 179072123 358144246 537216369 1074432738 1253504861 1969793353 2507009722 3760514583 3939586706 5909380059 7521029166 11818760118 13788553471 27577106942 41365660413 82731320826