Search a number
-
+
5561503200 = 2533521189263
BaseRepresentation
bin1010010110111110…
…11100110111100000
3112100120221122011000
411023133130313200
542342221100300
62315510152000
7254550666021
oct51337346740
915316848130
105561503200
1123a4361740
1210b2652600
136a8298bc6
143aa8a6c48
152283bcc00
hex14b7dcde0

5561503200 has 576 divisors, whose sum is σ = 22273574400. Its totient is φ = 1328025600.

The previous prime is 5561503193. The next prime is 5561503271. The reversal of 5561503200 is 23051655.

It is a super-2 number, since 2×55615032002 = 61860635687220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 21146269 + ... + 21146531.

It is an arithmetic number, because the mean of its divisors is an integer number (38669400).

Almost surely, 25561503200 is an apocalyptic number.

5561503200 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 5561503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136787200).

5561503200 is an abundant number, since it is smaller than the sum of its proper divisors (16712071200).

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

5561503200 is a wasteful number, since it uses less digits than its factorization.

5561503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5561503200 is about 74575.4865890931. The cubic root of 5561503200 is about 1771.7294214260.

Adding to 5561503200 its reverse (23051655), we get a palindrome (5584554855).

The spelling of 5561503200 in words is "five billion, five hundred sixty-one million, five hundred three thousand, two hundred".