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5506543200 = 2535229611297
BaseRepresentation
bin1010010000011011…
…10010111001100000
3112012202112101012110
411020031302321200
542234133340300
62310224155320
7253312562544
oct51015627140
915182471173
105506543200
112376333454
121098168b40
13699a94cb2
143a347ba24
15223663550
hex148372e60

5506543200 has 288 divisors, whose sum is σ = 18860355360. Its totient is φ = 1393459200.

The previous prime is 5506543199. The next prime is 5506543243. The reversal of 5506543200 is 23456055.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4244952 + ... + 4246248.

It is an arithmetic number, because the mean of its divisors is an integer number (65487345).

Almost surely, 25506543200 is an apocalyptic number.

5506543200 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 5506543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430177680).

5506543200 is an abundant number, since it is smaller than the sum of its proper divisors (13353812160).

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

5506543200 is a wasteful number, since it uses less digits than its factorization.

5506543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5506543200 is about 74206.0860037773. The cubic root of 5506543200 is about 1765.8738834475.

Adding to 5506543200 its reverse (23456055), we get a palindrome (5529999255).

The spelling of 5506543200 in words is "five billion, five hundred six million, five hundred forty-three thousand, two hundred".