Search a number
-
+
82114264581 = 3194146775239
BaseRepresentation
bin100110001111001100…
…1000011111000000101
321211221200110211202120
41030132121003320011
52321132222431311
6101420041400153
75634603506166
oct1143631037005
9254850424676
1082114264581
11319083a8388
1213ab7a99059
13798817864b
143d8d89976d
152208e02706
hex131e643e05

82114264581 has 32 divisors (see below), whose sum is σ = 118313395200. Its totient is φ = 50487707520.

The previous prime is 82114264579. The next prime is 82114264607. The reversal of 82114264581 is 18546241128.

It is not a de Polignac number, because 82114264581 - 21 = 82114264579 is a prime.

It is a super-2 number, since 2×821142645812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82114264511) 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, 1053760 + ... + 1128998.

It is an arithmetic number, because the mean of its divisors is an integer number (3697293600).

Almost surely, 282114264581 is an apocalyptic number.

It is an amenable number.

82114264581 is a deficient number, since it is larger than the sum of its proper divisors (36199130619).

82114264581 is a wasteful number, since it uses less digits than its factorization.

82114264581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75769.

The product of its digits is 122880, while the sum is 42.

The spelling of 82114264581 in words is "eighty-two billion, one hundred fourteen million, two hundred sixty-four thousand, five hundred eighty-one".

Divisors: 1 3 19 41 57 123 467 779 1401 2337 8873 19147 26619 57441 75239 225717 363793 1091379 1429541 3084799 4288623 9254397 35136613 58611181 105409839 175833543 667595647 1440601133 2002786941 4321803399 27371421527 82114264581