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5005505000 = 23549711031
BaseRepresentation
bin1001010100101100…
…11111000111101000
3110220211202000000002
410222112133013220
540222402130000
62144405202132
7235020043016
oct45226370750
913824660002
105005505000
112139527aa1
12b78400348
1361a0384a2
14356ad58b6
151e46928d5
hex12a59f1e8

5005505000 has 80 divisors (see below), whose sum is σ = 11751363360. Its totient is φ = 1998200000.

The previous prime is 5005504997. The next prime is 5005505033. The reversal of 5005505000 is 5055005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4854485 + ... + 4855515.

It is an arithmetic number, because the mean of its divisors is an integer number (146892042).

Almost surely, 25005505000 is an apocalyptic number.

5005505000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875681680).

5005505000 is an abundant number, since it is smaller than the sum of its proper divisors (6745858360).

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

5005505000 is a wasteful number, since it uses less digits than its factorization.

5005505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 5005505000 is about 70749.5936384090. The cubic root of 5005505000 is about 1710.6032776749.

The spelling of 5005505000 in words is "five billion, five million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 971 1000 1031 1250 1942 2062 2500 3884 4124 4855 5000 5155 7768 8248 9710 10310 19420 20620 24275 25775 38840 41240 48550 51550 97100 103100 121375 128875 194200 206200 242750 257750 485500 515500 606875 644375 971000 1001101 1031000 1213750 1288750 2002202 2427500 2577500 4004404 4855000 5005505 5155000 8008808 10011010 20022020 25027525 40044040 50055050 100110100 125137625 200220200 250275250 500550500 625688125 1001101000 1251376250 2502752500 5005505000