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5005500552 = 2332135579601
BaseRepresentation
bin1001010100101100…
…11110000010001000
3110220211201202220100
410222112132002020
540222402004202
62144405125400
7235020024033
oct45226360210
913824652810
105005500552
112139524718
12b783b9860
1361a036460
14356ad401a
151e469141c
hex12a59e088

5005500552 has 96 divisors (see below), whose sum is σ = 14627110680. Its totient is φ = 1537228800.

The previous prime is 5005500541. The next prime is 5005500569. The reversal of 5005500552 is 2550055005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3001505796 + 2003994756 = 54786^2 + 44766^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516552 + ... + 526152.

Almost surely, 25005500552 is an apocalyptic number.

5005500552 is a gapful number since it is divisible by the number (52) 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 5005500552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313555340).

5005500552 is an abundant number, since it is smaller than the sum of its proper divisors (9621610128).

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

5005500552 is a wasteful number, since it uses less digits than its factorization.

5005500552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 5005500552 is about 70749.5622035925. The cubic root of 5005500552 is about 1710.6027709818.

Adding to 5005500552 its reverse (2550055005), we get a palindrome (7555555557).

The spelling of 5005500552 in words is "five billion, five million, five hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 557 936 1114 1671 2228 3342 4456 5013 6684 7241 9601 10026 13368 14482 19202 20052 21723 28803 28964 38404 40104 43446 57606 57928 65169 76808 86409 86892 115212 124813 130338 172818 173784 230424 249626 260676 345636 374439 499252 521352 691272 748878 998504 1123317 1497756 2246634 2995512 4493268 5347757 8986536 10695514 16043271 21391028 32086542 42782056 48129813 64173084 69520841 96259626 128346168 139041682 192519252 208562523 278083364 385038504 417125046 556166728 625687569 834250092 1251375138 1668500184 2502750276 5005500552