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5644400112 = 243513176569
BaseRepresentation
bin1010100000110111…
…01011010111110000
3112120100221020100000
411100123223113300
543024431300422
62332031030000
7256605416001
oct52033532760
915510836300
105644400112
11243713138a
12111636b300
136bc501a30
143b78c51a8
152307e4cac
hex1506eb5f0

5644400112 has 240 divisors, whose sum is σ = 18682241760. Its totient is φ = 1634328576.

The previous prime is 5644400087. The next prime is 5644400119. The reversal of 5644400112 is 2110044465.

5644400112 is a `hidden beast` number, since 5 + 644 + 4 + 0 + 0 + 1 + 12 = 666.

It is a super-2 number, since 2×56444001122 = 63718505248691225088, 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 not an unprimeable number, because it can be changed into a prime (5644400119) 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 47 ways as a sum of consecutive naturals, for example, 855964 + ... + 862532.

It is an arithmetic number, because the mean of its divisors is an integer number (77842674).

Almost surely, 25644400112 is an apocalyptic number.

5644400112 is a gapful number since it is divisible by the number (52) 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 5644400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341120880).

5644400112 is an abundant number, since it is smaller than the sum of its proper divisors (13037841648).

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

5644400112 is a wasteful number, since it uses less digits than its factorization.

5644400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5644400112 is about 75129.2227565280. Note that the first 3 decimals coincide. The cubic root of 5644400112 is about 1780.4888730001.

Adding to 5644400112 its reverse (2110044465), we get a palindrome (7754444577).

The spelling of 5644400112 in words is "five billion, six hundred forty-four million, four hundred thousand, one hundred twelve".