Search a number
-
+
5005561584 = 243104282533
BaseRepresentation
bin1001010100101101…
…01100111011110000
3110220211211212121210
410222112230323300
540222410432314
62144410320120
7235020400002
oct45226547360
913824755553
105005561584
112139566561
12b78429040
1361a05817a
14356b0c372
151e46a4559
hex12a5acef0

5005561584 has 20 divisors (see below), whose sum is σ = 12931034216. Its totient is φ = 1668520512.

The previous prime is 5005561573. The next prime is 5005561643. The reversal of 5005561584 is 4851655005.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52141219 + ... + 52141314.

Almost surely, 25005561584 is an apocalyptic number.

It is an amenable number.

5005561584 is an abundant number, since it is smaller than the sum of its proper divisors (7925472632).

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

5005561584 is a wasteful number, since it uses less digits than its factorization.

5005561584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104282544 (or 104282538 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The square root of 5005561584 is about 70749.9935265015. The cubic root of 5005561584 is about 1710.6097234056.

The spelling of 5005561584 in words is "five billion, five million, five hundred sixty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 104282533 208565066 312847599 417130132 625695198 834260264 1251390396 1668520528 2502780792 5005561584