Search a number
-
+
164248852169 = 8921110338467
BaseRepresentation
bin1001100011110111111…
…1101001011011001001
3120200221210012012110002
42120331333221123021
510142340201232134
6203242130532345
714603145131213
oct2307577513311
9520853165402
10164248852169
1163726216736
12279ba7370b5
13126475bb42c
147d41d255b3
1544149bb87e
hex263dfe96c9

164248852169 has 16 divisors (see below), whose sum is σ = 167062800960. Its totient is φ = 161458133760.

The previous prime is 164248852129. The next prime is 164248852231. The reversal of 164248852169 is 961258842461.

It is a cyclic number.

It is not a de Polignac number, because 164248852169 - 212 = 164248848073 is a prime.

It is a super-2 number, since 2×1642488521692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164248852129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19394474 + ... + 19402940.

It is an arithmetic number, because the mean of its divisors is an integer number (10441425060).

Almost surely, 2164248852169 is an apocalyptic number.

It is an amenable number.

164248852169 is a deficient number, since it is larger than the sum of its proper divisors (2813948791).

164248852169 is a wasteful number, since it uses less digits than its factorization.

164248852169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800.

The product of its digits is 6635520, while the sum is 56.

The spelling of 164248852169 in words is "one hundred sixty-four billion, two hundred forty-eight million, eight hundred fifty-two thousand, one hundred sixty-nine".

Divisors: 1 89 211 1033 8467 18779 91937 217963 753563 1786537 8746411 19398707 159001793 778430579 1845492721 164248852169