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5295790080 = 21132578209
BaseRepresentation
bin1001110111010011…
…10101100000000000
3111200001222000021100
410323221311200000
541321210240310
62233255054400
7245143321140
oct47351654000
914601860240
105295790080
112278376519
121039671400
136652143c9
1438349a920
1520edd2ec0
hex13ba75800

5295790080 has 288 divisors, whose sum is σ = 20978848800. Its totient is φ = 1210318848.

The previous prime is 5295790069. The next prime is 5295790099. The reversal of 5295790080 is 800975925.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641016 + ... + 649224.

It is an arithmetic number, because the mean of its divisors is an integer number (72843225).

Almost surely, 25295790080 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 5295790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10489424400).

5295790080 is an abundant number, since it is smaller than the sum of its proper divisors (15683058720).

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

5295790080 is a wasteful number, since it uses less digits than its factorization.

5295790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5295790080 is about 72772.1792995098. The cubic root of 5295790080 is about 1743.0516404942.

The spelling of 5295790080 in words is "five billion, two hundred ninety-five million, seven hundred ninety thousand, eighty".