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5005000050 = 2352436731153
BaseRepresentation
bin1001010100101001…
…00011110101110010
3110220210210100100020
410222110203311302
540222240000200
62144350304310
7235012540611
oct45224436562
913823710306
105005000050
112139212686
12b781b8096
13619bbc6bb
14356a03878
151e45e2ea0
hex12a523d72

5005000050 has 96 divisors (see below), whose sum is σ = 12730964928. Its totient is φ = 1300561920.

The previous prime is 5005000037. The next prime is 5005000051. The reversal of 5005000050 is 500005005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 5004999993 and 5005000029.

It is not an unprimeable number, because it can be changed into a prime (5005000051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4340274 + ... + 4341426.

It is an arithmetic number, because the mean of its divisors is an integer number (132614218).

Almost surely, 25005000050 is an apocalyptic number.

5005000050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365482464).

5005000050 is an abundant number, since it is smaller than the sum of its proper divisors (7725964878).

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

5005000050 is a wasteful number, since it uses less digits than its factorization.

5005000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 15.

The square root of 5005000050 is about 70746.0249766727. The cubic root of 5005000050 is about 1710.5457544632.

Adding to 5005000050 its reverse (500005005), we get a palindrome (5505005055).

The spelling of 5005000050 in words is "five billion, five million, fifty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 673 1075 1153 1290 1346 2019 2150 2306 3225 3365 3459 4038 5765 6450 6730 6918 10095 11530 16825 17295 20190 28825 28939 33650 34590 49579 50475 57650 57878 86475 86817 99158 100950 144695 148737 172950 173634 247895 289390 297474 434085 495790 723475 743685 775969 868170 1239475 1446950 1487370 1551938 2170425 2327907 2478950 3718425 3879845 4340850 4655814 7436850 7759690 11639535 19399225 23279070 33366667 38798450 58197675 66733334 100100001 116395350 166833335 200200002 333666670 500500005 834166675 1001000010 1668333350 2502500025 5005000050