Search a number
-
+
82577214078 = 23191136410279
BaseRepresentation
bin100110011100111111…
…1000100101001111110
321220010221121010002020
41030321333010221332
52323104231322303
6101534020141010
75652224511162
oct1147177045176
9256127533066
1082577214078
1132025759177
1214006b37766
137a3005a568
143dd5168ca2
15223489ca53
hex1339fc4a7e

82577214078 has 32 divisors (see below), whose sum is σ = 175385260800. Its totient is φ = 25846240896.

The previous prime is 82577214073. The next prime is 82577214107. The reversal of 82577214078 is 87041277528.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82577214078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82577214073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3192258 + ... + 3218021.

It is an arithmetic number, because the mean of its divisors is an integer number (5480789400).

Almost surely, 282577214078 is an apocalyptic number.

82577214078 is an abundant number, since it is smaller than the sum of its proper divisors (92808046722).

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

82577214078 is a wasteful number, since it uses less digits than its factorization.

82577214078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410416.

The product of its (nonzero) digits is 1756160, while the sum is 51.

The spelling of 82577214078 in words is "eighty-two billion, five hundred seventy-seven million, two hundred fourteen thousand, seventy-eight".

Divisors: 1 2 3 6 19 38 57 113 114 226 339 678 2147 4294 6441 12882 6410279 12820558 19230837 38461674 121795301 243590602 365385903 724361527 730771806 1448723054 2173084581 4346169162 13762869013 27525738026 41288607039 82577214078