Search a number
-
+
14803738164 = 2232411214949
BaseRepresentation
bin11011100100101111…
…10001111000110100
31102012200211211001200
431302113301320310
5220304224110124
610444543252500
71032564461325
oct156227617064
942180754050
1014803738164
116307362656
122a518aa130
13151bca03a7
14a0613644c
155b9997bc9
hex3725f1e34

14803738164 has 18 divisors (see below), whose sum is σ = 37420560450. Its totient is φ = 4934579376.

The previous prime is 14803738127. The next prime is 14803738247. The reversal of 14803738164 is 46183730841.

14803738164 is a `hidden beast` number, since 1 + 480 + 3 + 7 + 3 + 8 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14299376400 + 504361764 = 119580^2 + 22458^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 205607439 + ... + 205607510.

It is an arithmetic number, because the mean of its divisors is an integer number (2078920025).

Almost surely, 214803738164 is an apocalyptic number.

It is an amenable number.

14803738164 is an abundant number, since it is smaller than the sum of its proper divisors (22616822286).

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

14803738164 is a wasteful number, since it uses less digits than its factorization.

14803738164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411214959 (or 411214954 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14803738164 in words is "fourteen billion, eight hundred three million, seven hundred thirty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 411214949 822429898 1233644847 1644859796 2467289694 3700934541 4934579388 7401869082 14803738164