Search a number
-
+
82756079541 = 3321997139339
BaseRepresentation
bin100110100010010100…
…1011000111110110101
321220121102011102101000
41031010221120332311
52323441024021131
6102003445553513
75656526032632
oct1150451307665
9256542142330
1082756079541
1132107716473
1214056a15899
137a5b124c05
144010c09189
15224542ece6
hex1344a58fb5

82756079541 has 16 divisors (see below), whose sum is σ = 122608052800. Its totient is φ = 55167815664.

The previous prime is 82756079519. The next prime is 82756079551. The reversal of 82756079541 is 14597065728.

82756079541 is a `hidden beast` number, since 8 + 2 + 7 + 560 + 79 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 82756079541 - 235 = 48396341173 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82756079551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524250 + ... + 663588.

It is an arithmetic number, because the mean of its divisors is an integer number (7663003300).

Almost surely, 282756079541 is an apocalyptic number.

It is an amenable number.

82756079541 is a deficient number, since it is larger than the sum of its proper divisors (39851973259).

82756079541 is a wasteful number, since it uses less digits than its factorization.

82756079541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161345 (or 161339 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 82756079541 in words is "eighty-two billion, seven hundred fifty-six million, seventy-nine thousand, five hundred forty-one".

Divisors: 1 3 9 27 21997 65991 139339 197973 418017 593919 1254051 3762153 3065039983 9195119949 27585359847 82756079541