Search a number
-
+
55663120000 = 2754832101
BaseRepresentation
bin110011110101110001…
…111100111010000000
312022200020222110211001
4303311301330322000
51402444224320000
641323221501344
74010245466455
oct636561747200
9168606873731
1055663120000
112167441aa14
12a955571854
1353310c72c7
1429a08c982c
1516abb3646a
hexcf5c7ce80

55663120000 has 240 divisors, whose sum is σ = 141648197130. Its totient is φ = 21779200000.

The previous prime is 55663119979. The next prime is 55663120033. The reversal of 55663120000 is 2136655.

It can be written as a sum of positive squares in 5 ways, for example, as 8518551616 + 47144568384 = 92296^2 + 217128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 551119950 + ... + 551120050.

Almost surely, 255663120000 is an apocalyptic number.

55663120000 is a gapful number since it is divisible by the number (50) 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 55663120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70824098565).

55663120000 is an abundant number, since it is smaller than the sum of its proper divisors (85985077130).

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

55663120000 is an frugal number, since it uses more digits than its factorization.

55663120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 55663120000 its reverse (2136655), we get a palindrome (55665256655).

The spelling of 55663120000 in words is "fifty-five billion, six hundred sixty-three million, one hundred twenty thousand".