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5312885760 = 2103257213181
BaseRepresentation
bin1001111001010110…
…00011010000000000
3111201021010120010200
410330223003100000
541340044321020
62235105325200
7245441532600
oct47453032000
914637116120
105312885760
112286a92786
121043336800
1366891b8b0
1438586ac00
1521165d590
hex13cac3400

5312885760 has 792 divisors, whose sum is σ = 23189251176. Its totient is φ = 1114767360.

The previous prime is 5312885723. The next prime is 5312885777. The reversal of 5312885760 is 675882135.

5312885760 is a `hidden beast` number, since 53 + 1 + 28 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238887936 + 5073997824 = 15456^2 + 71232^2 .

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 71 ways as a sum of consecutive naturals, for example, 29352870 + ... + 29353050.

Almost surely, 25312885760 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 5312885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594625588).

5312885760 is an abundant number, since it is smaller than the sum of its proper divisors (17876365416).

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

5312885760 is a wasteful number, since it uses less digits than its factorization.

5312885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5312885760 is about 72889.5449292970. The cubic root of 5312885760 is about 1744.9252448114.

The spelling of 5312885760 in words is "five billion, three hundred twelve million, eight hundred eighty-five thousand, seven hundred sixty".