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5630715360 = 25325191311571
BaseRepresentation
bin1010011111001110…
…11110010111100000
3112112102011222101100
411033213132113200
543012430342420
62330421434400
7256351201524
oct51747362740
915472158340
105630715360
11242a434876
12111186ba00
136b971cc4a
143b5b61d84
1522e4e0190
hex14f9de5e0

5630715360 has 288 divisors, whose sum is σ = 20393493120. Its totient is φ = 1410739200.

The previous prime is 5630715359. The next prime is 5630715397. The reversal of 5630715360 is 635170365.

It is a happy number.

5630715360 is a `hidden beast` number, since 5 + 630 + 7 + 15 + 3 + 6 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3583375 + ... + 3584945.

It is an arithmetic number, because the mean of its divisors is an integer number (70810740).

Almost surely, 25630715360 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 5630715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196746560).

5630715360 is an abundant number, since it is smaller than the sum of its proper divisors (14762777760).

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

5630715360 is a wasteful number, since it uses less digits than its factorization.

5630715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 5630715360 is about 75038.0927262947. The cubic root of 5630715360 is about 1779.0487868950.

The spelling of 5630715360 in words is "five billion, six hundred thirty million, seven hundred fifteen thousand, three hundred sixty".