Search a number
-
+
5520142705616 = 2473112233189131
BaseRepresentation
bin101000001010100001000…
…1001010010001111010000
3201112201110020101022012122
41100111002021102033100
51210420223013034431
615423530223513412
71106550165545000
oct120250211221720
921481406338178
105520142705616
111839096713900
12751a10758868
13310716333656
14151267bdc000
15988d18ada7b
hex505422523d0

5520142705616 has 960 divisors, whose sum is σ = 15047036928000. Its totient is φ = 1953439488000.

The previous prime is 5520142705613. The next prime is 5520142705621. The reversal of 5520142705616 is 6165072410255.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5520142705613) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42138493871 + ... + 42138494001.

It is an arithmetic number, because the mean of its divisors is an integer number (15673996800).

Almost surely, 25520142705616 is an apocalyptic number.

5520142705616 is a gapful number since it is divisible by the number (56) 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 5520142705616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523518464000).

5520142705616 is an abundant number, since it is smaller than the sum of its proper divisors (9526894222384).

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

5520142705616 is a wasteful number, since it uses less digits than its factorization.

5520142705616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 5520142705616 in words is "five trillion, five hundred twenty billion, one hundred forty-two million, seven hundred five thousand, six hundred sixteen".