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5493096000 = 26345372173
BaseRepresentation
bin1010001110110100…
…11111111001000000
3112011211020012010000
411013122133321000
542222213033000
62305024040000
7253060355100
oct50732377100
915154205100
105493096000
112369789367
121093763000
13697067382
143a177b200
152223a9000
hex14769fe40

5493096000 has 840 divisors, whose sum is σ = 23775945336. Its totient is φ = 1248307200.

The previous prime is 5493095963. The next prime is 5493096041. The reversal of 5493096000 is 6903945.

5493096000 is a `hidden beast` number, since 5 + 49 + 3 + 0 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 5489031744 = 2016^2 + 74088^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 31751914 + ... + 31752086.

Almost surely, 25493096000 is an apocalyptic number.

5493096000 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 5493096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887972668).

5493096000 is an abundant number, since it is smaller than the sum of its proper divisors (18282849336).

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

5493096000 is a wasteful number, since it uses less digits than its factorization.

5493096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5493096000 is about 74115.4234960578. The cubic root of 5493096000 is about 1764.4352667388.

Adding to 5493096000 its reverse (6903945), we get a palindrome (5499999945).

The spelling of 5493096000 in words is "five billion, four hundred ninety-three million, ninety-six thousand".