Search a number
-
+
2042549485920 = 2535517537
BaseRepresentation
bin11101101110010001011…
…011111100000101100000
321020021011210012200200000
4131232101123330011200
5231431120132022140
64202200112100000
7300366165111306
oct35562133740540
97207153180600
102042549485920
11718270a32389
1228ba39834600
1311a7c4881488
1470c078b0276
15381e8717a30
hex1db916fc160

2042549485920 has 864 divisors, whose sum is σ = 7887698608608. Its totient is φ = 498784739328.

The previous prime is 2042549485919. The next prime is 2042549485931. The reversal of 2042549485920 is 295849452402.

2042549485920 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 5 + 4 + 9 + 48 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55204040142 + ... + 55204040178.

It is an arithmetic number, because the mean of its divisors is an integer number (9129280797).

Almost surely, 22042549485920 is an apocalyptic number.

2042549485920 is a gapful number since it is divisible by the number (20) 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 2042549485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943849304304).

2042549485920 is an abundant number, since it is smaller than the sum of its proper divisors (5845149122688).

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

2042549485920 is an frugal number, since it uses more digits than its factorization.

2042549485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2042549485920 in words is "two trillion, forty-two billion, five hundred forty-nine million, four hundred eighty-five thousand, nine hundred twenty".