Search a number
-
+
82808250780 = 223528314513361
BaseRepresentation
bin100110100011111000…
…0011010000110011100
321220202001022222212010
41031013300122012130
52324042403011110
6102012552111220
75661031342443
oct1150760320634
9256661288763
1082808250780
113213410a4a2
1214070395510
137a68b90678
144017b09d5a
152249cd8020
hex1347c1a19c

82808250780 has 96 divisors (see below), whose sum is σ = 232912044288. Its totient is φ = 21982464000.

The previous prime is 82808250773. The next prime is 82808250781. The reversal of 82808250780 is 8705280828.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82808250781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24636300 + ... + 24639660.

It is an arithmetic number, because the mean of its divisors is an integer number (2426167128).

Almost surely, 282808250780 is an apocalyptic number.

It is an amenable number.

82808250780 is an abundant number, since it is smaller than the sum of its proper divisors (150103793508).

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

82808250780 is a wasteful number, since it uses less digits than its factorization.

82808250780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 82808250780 in words is "eighty-two billion, eight hundred eight million, two hundred fifty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 566 849 1132 1415 1451 1698 2830 2902 3361 3396 4245 4353 5660 5804 6722 7255 8490 8706 10083 13444 14510 16805 16980 17412 20166 21765 29020 33610 40332 43530 50415 67220 87060 100830 201660 410633 821266 951163 1231899 1642532 1902326 2053165 2463798 2853489 3804652 4106330 4755815 4876811 4927596 5706978 6159495 8212660 9511630 9753622 11413956 12318990 14267445 14630433 19023260 19507244 24384055 24637980 28534890 29260866 48768110 57069780 58521732 73152165 97536220 146304330 292608660 1380137513 2760275026 4140412539 5520550052 6900687565 8280825078 13801375130 16561650156 20702062695 27602750260 41404125390 82808250780