Search a number
-
+
5564988000 = 25325311132347
BaseRepresentation
bin1010010111011001…
…01111101001100000
3112100211111200101200
411023230233221200
542344114104000
62320113001200
7254622421545
oct51354575140
915324450350
105564988000
1123a6321940
1210b3853200
136a8c19110
143ab132bcc
1522885a500
hex14bb2fa60

5564988000 has 1152 divisors, whose sum is σ = 24726933504. Its totient is φ = 1165824000.

The previous prime is 5564987999. The next prime is 5564988001. The reversal of 5564988000 is 8894655.

5564988000 is a `hidden beast` number, since 5 + 564 + 9 + 8 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5564987999) and next prime (5564988001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5564988001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118403977 + ... + 118404023.

It is an arithmetic number, because the mean of its divisors is an integer number (21464352).

Almost surely, 25564988000 is an apocalyptic number.

5564988000 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 5564988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363466752).

5564988000 is an abundant number, since it is smaller than the sum of its proper divisors (19161945504).

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

5564988000 is a wasteful number, since it uses less digits than its factorization.

5564988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5564988000 is about 74598.8471760791. The cubic root of 5564988000 is about 1772.0993953557.

The spelling of 5564988000 in words is "five billion, five hundred sixty-four million, nine hundred eighty-eight thousand".