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5318213760 = 27345173593
BaseRepresentation
bin1001111001111110…
…11000000010000000
3111201122011020210000
410330333120002000
541342430320020
62235415440000
7245535033246
oct47477300200
914648136700
105318213760
112289aa1792
121045086000
13669a65a62
14386456796
15211d62090
hex13cfd8080

5318213760 has 320 divisors, whose sum is σ = 19134296280. Its totient is φ = 1407614976.

The previous prime is 5318213731. The next prime is 5318213839. The reversal of 5318213760 is 673128135.

It can be written as a sum of positive squares in 4 ways, for example, as 5173637184 + 144576576 = 71928^2 + 12024^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8968024 + ... + 8968616.

Almost surely, 25318213760 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 5318213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567148140).

5318213760 is an abundant number, since it is smaller than the sum of its proper divisors (13816082520).

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

5318213760 is a wasteful number, since it uses less digits than its factorization.

5318213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5318213760 is about 72926.0842223138. The cubic root of 5318213760 is about 1745.5083463530.

The spelling of 5318213760 in words is "five billion, three hundred eighteen million, two hundred thirteen thousand, seven hundred sixty".