Search a number
-
+
164345440243311 = 32127312899459523
BaseRepresentation
bin100101010111100010100111…
…100101100000111001101111
3210112220021022022011022021200
4211113202213211200321233
5133020113430200241221
61341311130350300543
746421365134000105
oct4527424745407157
9715807268138250
10164345440243311
11484025675a4538
12165232b74b7753
1370919297c16a2
142c8250c8d7c75
151400006ddc426
hex9578a7960e6f

164345440243311 has 24 divisors (see below), whose sum is σ = 239258339174400. Its totient is φ = 108700337155536.

The previous prime is 164345440243261. The next prime is 164345440243351. The reversal of 164345440243311 is 113342044543461.

164345440243311 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 54 + 40 + 243 + 311 = 666.

It is not a de Polignac number, because 164345440243311 - 29 = 164345440242799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164345440243351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357413796 + ... + 357873318.

It is an arithmetic number, because the mean of its divisors is an integer number (9969097465600).

Almost surely, 2164345440243311 is an apocalyptic number.

164345440243311 is a deficient number, since it is larger than the sum of its proper divisors (74912898931089).

164345440243311 is a wasteful number, since it uses less digits than its factorization.

164345440243311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772555 (or 772552 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 164345440243311 its reverse (113342044543461), we get a palindrome (277687484786772).

The spelling of 164345440243311 in words is "one hundred sixty-four trillion, three hundred forty-five billion, four hundred forty million, two hundred forty-three thousand, three hundred eleven".

Divisors: 1 3 9 127 381 1143 312899 459523 938697 1378569 2816091 4135707 39738173 58359421 119214519 175078263 357643557 525234789 143784287177 431352861531 1294058584593 18260604471479 54781813414437 164345440243311