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5484568320 = 28355711229
BaseRepresentation
bin1010001101110011…
…11101111100000000
3112011020011221100000
411012321331330000
542213022141240
62304121200000
7252625030050
oct50671757400
915136157300
105484568320
1123649943a0
121090930000
1369536c9ca
143a059b560
15221772430
hex146e7df00

5484568320 has 864 divisors, whose sum is σ = 24641809920. Its totient is φ = 1134673920.

The previous prime is 5484568289. The next prime is 5484568333. The reversal of 5484568320 is 238654845.

5484568320 is a `hidden beast` number, since 5 + 4 + 84 + 568 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 23949966 + ... + 23950194.

Almost surely, 25484568320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5484568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320904960).

5484568320 is an abundant number, since it is smaller than the sum of its proper divisors (19157241600).

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

5484568320 is a wasteful number, since it uses less digits than its factorization.

5484568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5484568320 is about 74057.8714249876. The cubic root of 5484568320 is about 1763.5217362319.

The spelling of 5484568320 in words is "five billion, four hundred eighty-four million, five hundred sixty-eight thousand, three hundred twenty".