Search a number
-
+
82320477278205 = 3517437977737083
BaseRepresentation
bin10010101101111010111010…
…110011100100111111111101
3101210110202112121020102012110
4102231322322303210333331
541242214314140400310
6451025301041524233
723224313111415435
oct2255727263447775
9353422477212173
1082320477278205
1124258a11373441
129296315343679
1336c1a3175a94a
141648491dcb2c5
1597b527bbbd20
hex4adebace4ffd

82320477278205 has 32 divisors (see below), whose sum is σ = 139461080897664. Its totient is φ = 41321500932096.

The previous prime is 82320477278203. The next prime is 82320477278219. The reversal of 82320477278205 is 50287277402328.

82320477278205 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 82320477278205 - 21 = 82320477278203 is a prime.

It is a super-2 number, since 2×823204772782052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82320477278203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111315594 + ... + 112052676.

It is an arithmetic number, because the mean of its divisors is an integer number (4358158778052).

Almost surely, 282320477278205 is an apocalyptic number.

82320477278205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82320477278205 is a deficient number, since it is larger than the sum of its proper divisors (57140603619459).

82320477278205 is a wasteful number, since it uses less digits than its factorization.

82320477278205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175085.

The product of its (nonzero) digits is 21073920, while the sum is 57.

The spelling of 82320477278205 in words is "eighty-two trillion, three hundred twenty billion, four hundred seventy-seven million, two hundred seventy-eight thousand, two hundred five".

Divisors: 1 3 5 15 17 51 85 255 437977 737083 1313931 2189885 2211249 3685415 6569655 7445609 11056245 12530411 22336827 37228045 37591233 62652055 111684135 187956165 322825401091 968476203273 1614127005455 4842381016365 5488031818547 16464095455641 27440159092735 82320477278205