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82505782758 = 23723102183653
BaseRepresentation
bin100110011010110111…
…0100101010111100110
321212221222012000201210
41030311232211113212
52322432440022013
6101522545132250
75650366403460
oct1146556452746
9255858160653
1082505782758
1131a993aa823
1213ba702a086
137a1b30a3c9
143dc9893130
15222d48ccc3
hex1335ba55e6

82505782758 has 64 divisors (see below), whose sum is σ = 196979069952. Its totient is φ = 22525810560.

The previous prime is 82505782741. The next prime is 82505782811. The reversal of 82505782758 is 85728750528.

It is a junction number, because it is equal to n+sod(n) for n = 82505782698 and 82505782707.

It is a congruent number.

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, 944460 + ... + 1028112.

It is an arithmetic number, because the mean of its divisors is an integer number (3077797968).

Almost surely, 282505782758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82505782758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98489534976).

82505782758 is an abundant number, since it is smaller than the sum of its proper divisors (114473287194).

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

82505782758 is a wasteful number, since it uses less digits than its factorization.

82505782758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84709.

The product of its (nonzero) digits is 12544000, while the sum is 57.

The spelling of 82505782758 in words is "eighty-two billion, five hundred five million, seven hundred eighty-two thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1021 2042 3063 6126 7147 14294 21441 23483 42882 46966 70449 83653 140898 164381 167306 250959 328762 493143 501918 585571 986286 1171142 1756713 1924019 3513426 3848038 5772057 11544114 13468133 26936266 40404399 80808798 85409713 170819426 256229139 512458278 597867991 1195735982 1793603973 1964423399 3587207946 3928846798 5893270197 11786540394 13750963793 27501927586 41252891379 82505782758