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4663525000 = 23551710973
BaseRepresentation
bin1000101011111011…
…11011111010001000
3110001000020121122011
410111331323322020
534022330300000
62050431305304
7223365210541
oct42575737210
913030217564
104663525000
111a834903a2
12aa197b234
1359422c864
143235154c8
151c46402ba
hex115f7be88

4663525000 has 96 divisors (see below), whose sum is σ = 11573399880. Its totient is φ = 1755520000.

The previous prime is 4663524991. The next prime is 4663525019. The reversal of 4663525000 is 5253664.

It can be written as a sum of positive squares in 12 ways, for example, as 1349680644 + 3313844356 = 36738^2 + 57566^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 419514 + ... + 430486.

Almost surely, 24663525000 is an apocalyptic number.

4663525000 is a gapful number since it is divisible by the number (40) 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 4663525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786699940).

4663525000 is an abundant number, since it is smaller than the sum of its proper divisors (6909874880).

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

4663525000 is a wasteful number, since it uses less digits than its factorization.

4663525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 4663525000 is about 68290.0065895443. The cubic root of 4663525000 is about 1670.7242248278.

Adding to 4663525000 its reverse (5253664), we get a palindrome (4668778664).

The spelling of 4663525000 in words is "four billion, six hundred sixty-three million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3125 3400 4250 5000 6250 8500 10625 10973 12500 17000 21250 21946 25000 42500 43892 53125 54865 85000 87784 106250 109730 186541 212500 219460 274325 373082 425000 438920 548650 746164 932705 1097300 1371625 1492328 1865410 2194600 2743250 3730820 4663525 5486500 6858125 7461640 9327050 10973000 13716250 18654100 23317625 27432500 34290625 37308200 46635250 54865000 68581250 93270500 116588125 137162500 186541000 233176250 274325000 466352500 582940625 932705000 1165881250 2331762500 4663525000