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5709884544 = 2732721331251
BaseRepresentation
bin1010101000101010…
…11110110010000000
3112201221011012002100
411110111132302000
543143212301134
62342330350400
7261332134500
oct52425366200
915657135070
105709884544
112470098851
12113428b400
136ccc4c110
143c248da00
1523642c999
hex15455ec80

5709884544 has 576 divisors, whose sum is σ = 21332263680. Its totient is φ = 1451520000.

The previous prime is 5709884507. The next prime is 5709884561. The reversal of 5709884544 is 4454889075.

It is a happy number.

5709884544 is a `hidden beast` number, since 5 + 7 + 0 + 98 + 8 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22748419 + ... + 22748669.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 25709884544 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 5709884544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

5709884544 is an abundant number, since it is smaller than the sum of its proper divisors (15622379136).

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

5709884544 is a wasteful number, since it uses less digits than its factorization.

5709884544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 5709884544 is about 75563.7779891927. Note that the first 3 decimals coincide. The cubic root of 5709884544 is about 1787.3479597743.

The spelling of 5709884544 in words is "five billion, seven hundred nine million, eight hundred eighty-four thousand, five hundred forty-four".