Search a number
-
+
5324540204880 = 2432513937607109
BaseRepresentation
bin100110101111011011101…
…0100111101011101010000
3200212000120100202201122100
41031132313110331131100
51144214124243024010
615154020543240400
71056454032662361
oct115366724753520
920760510681570
105324540204880
111773141153a16
1271bb218a9100
132c81430b0160
141459cdb83b68
159378452c2c0
hex4d7b753d750

5324540204880 has 240 divisors, whose sum is σ = 19277670681360. Its totient is φ = 1309255114752.

The previous prime is 5324540204843. The next prime is 5324540204891. The reversal of 5324540204880 is 884020454235.

5324540204880 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 540 + 20 + 4 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2330006862096 + 2994533342784 = 1526436^2 + 1730472^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8466766 + ... + 9073874.

It is an arithmetic number, because the mean of its divisors is an integer number (80323627839).

Almost surely, 25324540204880 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 5324540204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638835340680).

5324540204880 is an abundant number, since it is smaller than the sum of its proper divisors (13953130476480).

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

5324540204880 is a wasteful number, since it uses less digits than its factorization.

5324540204880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608078 (or 608069 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 5324540204880 in words is "five trillion, three hundred twenty-four billion, five hundred forty million, two hundred four thousand, eight hundred eighty".