Search a number
-
+
6113185000 = 23541394049
BaseRepresentation
bin1011011000101111…
…11100110011101000
3120210001000222022021
411230113330303220
5100004433410000
62450334434224
7304330133536
oct55427746350
916701028267
106113185000
11265780840a
121227362974
13765677a40
1441dc73156
1525ba4411a
hex16c5fcce8

6113185000 has 80 divisors (see below), whose sum is σ = 15425140500. Its totient is φ = 2257152000.

The previous prime is 6113184997. The next prime is 6113185003. The reversal of 6113185000 is 5813116.

It is an interprime number because it is at equal distance from previous prime (6113184997) and next prime (6113185003).

It can be written as a sum of positive squares in 10 ways, for example, as 220166244 + 5893018756 = 14838^2 + 76766^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6113185003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17976 + ... + 112024.

Almost surely, 26113185000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6113185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712570250).

6113185000 is an abundant number, since it is smaller than the sum of its proper divisors (9311955500).

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

6113185000 is a wasteful number, since it uses less digits than its factorization.

6113185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94088 (or 94069 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 6113185000 is about 78186.8595097667. The cubic root of 6113185000 is about 1828.4756434085.

Adding to 6113185000 its reverse (5813116), we get a palindrome (6118998116).

The spelling of 6113185000 in words is "six billion, one hundred thirteen million, one hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 32500 65000 94049 188098 376196 470245 752392 940490 1222637 1880980 2351225 2445274 3761960 4702450 4890548 6113185 9404900 9781096 11756125 12226370 18809800 23512250 24452740 30565925 47024500 48905480 58780625 61131850 94049000 117561250 122263700 152829625 235122500 244527400 305659250 470245000 611318500 764148125 1222637000 1528296250 3056592500 6113185000