Search a number
-
+
4466346436644 = 223372195536387
BaseRepresentation
bin100000011111110011011…
…1111100010100000100100
3120210222102100210021002020
41000333212333202200210
51041134034141433034
613255451120343140
7640453141213431
oct100774677424044
916728370707066
104466346436644
111472192142894
12601736474ab0
13265236968cc1
1411625abc4b88
157b2a7372249
hex40fe6fe2824

4466346436644 has 12 divisors (see below), whose sum is σ = 10421475018864. Its totient is φ = 1488782145544.

The previous prime is 4466346436621. The next prime is 4466346436649.

4466346436644 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×44663464366443 (a number of 39 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4466346436649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186097768182 + ... + 186097768205.

It is an arithmetic number, because the mean of its divisors is an integer number (868456251572).

Almost surely, 24466346436644 is an apocalyptic number.

It is an amenable number.

4466346436644 is an abundant number, since it is smaller than the sum of its proper divisors (5955128582220).

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

4466346436644 is a wasteful number, since it uses less digits than its factorization.

4466346436644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372195536394 (or 372195536392 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 60.

The spelling of 4466346436644 in words is "four trillion, four hundred sixty-six billion, three hundred forty-six million, four hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 372195536387 744391072774 1116586609161 1488782145548 2233173218322 4466346436644