Search a number
-
+
5000006500 = 225342123753
BaseRepresentation
bin1001010100000011…
…00000101101100100
3110220110101122110221
410222001200231210
540220000202000
62144051254124
7234622232266
oct45201405544
913813348427
105000006500
112136411985
12b765aa344
13618b61838
143560a3b36
151e3e5861a
hex12a060b64

5000006500 has 48 divisors (see below), whose sum is σ = 10946413296. Its totient is φ = 1995168000.

The previous prime is 5000006497. The next prime is 5000006519. The reversal of 5000006500 is 56000005.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2841103204 + 2158903296 = 53302^2 + 46464^2 .

5000006500 is a modest number, since divided by 6500 gives 5000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198624 + ... + 222376.

It is an arithmetic number, because the mean of its divisors is an integer number (228050277).

Almost surely, 25000006500 is an apocalyptic number.

5000006500 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 5000006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473206648).

5000006500 is an abundant number, since it is smaller than the sum of its proper divisors (5946406796).

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

5000006500 is a wasteful number, since it uses less digits than its factorization.

5000006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24193 (or 24181 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5000006500 is about 70710.7240805806. The cubic root of 5000006500 is about 1709.9766876660.

Adding to 5000006500 its reverse (56000005), we get a palindrome (5056006505).

The spelling of 5000006500 in words is "five billion, six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 421 500 842 1684 2105 4210 8420 10525 21050 23753 42100 47506 52625 95012 105250 118765 210500 237530 475060 593825 1187650 2375300 2969125 5938250 10000013 11876500 20000026 40000052 50000065 100000130 200000260 250000325 500000650 1000001300 1250001625 2500003250 5000006500