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5308416960 = 2635721110259
BaseRepresentation
bin1001111000110100…
…00000001111000000
3111200221201112002120
410330122000033000
541332423320320
62234425444240
7245355541200
oct47432001700
914627645076
105308416960
112284510260
121041940680
13667a15832
14385026400
15211079440
hex13c6803c0

5308416960 has 336 divisors, whose sum is σ = 21390376320. Its totient is φ = 1102940160.

The previous prime is 5308416917. The next prime is 5308417031. The reversal of 5308416960 is 696148035.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512311 + ... + 522569.

Almost surely, 25308416960 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 5308416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695188160).

5308416960 is an abundant number, since it is smaller than the sum of its proper divisors (16081959360).

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

5308416960 is a wasteful number, since it uses less digits than its factorization.

5308416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5308416960 is about 72858.8838783576. The cubic root of 5308416960 is about 1744.4358742763.

The spelling of 5308416960 in words is "five billion, three hundred eight million, four hundred sixteen thousand, nine hundred sixty".