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5325321600 = 2732521791033
BaseRepresentation
bin1001111010110100…
…11111010110000000
3111202010112100220100
410331122133112000
541401240242400
62240232042400
7245652325644
oct47532372600
914663470810
105325321600
112293006a35
121047533400
1366b384091
14387386c24
152127b8100
hex13d69f580

5325321600 has 288 divisors, whose sum is σ = 19126621800. Its totient is φ = 1410785280.

The previous prime is 5325321593. The next prime is 5325321623. The reversal of 5325321600 is 61235235.

5325321600 is a `hidden beast` number, since 5 + 3 + 2 + 53 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5154684 + ... + 5155716.

Almost surely, 25325321600 is an apocalyptic number.

5325321600 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 5325321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9563310900).

5325321600 is an abundant number, since it is smaller than the sum of its proper divisors (13801300200).

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

5325321600 is a wasteful number, since it uses less digits than its factorization.

5325321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5325321600 is about 72974.8011302532. The cubic root of 5325321600 is about 1746.2856293181.

Adding to 5325321600 its reverse (61235235), we get a palindrome (5386556835).

The spelling of 5325321600 in words is "five billion, three hundred twenty-five million, three hundred twenty-one thousand, six hundred".