Search a number
-
+
4500540450054 = 2321122273909091
BaseRepresentation
bin100000101111101110100…
…0111010110010100000110
3120221020200101212010021100
41001133131013112110012
51042214101323400204
613323304133000530
7643103405430555
oct101373507262406
916836611763240
104500540450054
111485739834200
12608299a83146
13268525bc1c2c
14117b82247d9c
157c109296a39
hex417dd1d6506

4500540450054 has 72 divisors (see below), whose sum is σ = 10722956503896. Its totient is φ = 1363198636800.

The previous prime is 4500540450001. The next prime is 4500540450059.

4500540450054 is a `hidden beast` number, since 4 + 50 + 0 + 54 + 0 + 4 + 500 + 54 = 666.

4500540450054 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4500540450059) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4496049 + ... + 5405139.

It is an arithmetic number, because the mean of its divisors is an integer number (148929951443).

Almost surely, 24500540450054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4500540450054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361478251948).

4500540450054 is an abundant number, since it is smaller than the sum of its proper divisors (6222416053842).

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

4500540450054 is a wasteful number, since it uses less digits than its factorization.

4500540450054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911394 (or 911380 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 4500540 and 450054, that added together give a palindrome (4950594).

The spelling of 4500540450054 in words is "four trillion, five hundred billion, five hundred forty million, four hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 2273 4546 6819 13638 20457 25003 40914 50006 75009 150018 225027 275033 450054 550066 825099 909091 1650198 1818182 2475297 2727273 4950594 5454546 8181819 10000001 16363638 20000002 30000003 60000006 90000009 110000011 180000018 220000022 330000033 660000066 990000099 1980000198 2066363843 4132727686 6199091529 12398183058 18597274587 22730002273 37194549174 45460004546 68190006819 136380013638 204570020457 250030025003 409140040914 500060050006 750090075009 1500180150018 2250270225027 4500540450054