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5288369856 = 2637112311049
BaseRepresentation
bin1001110110011011…
…00001111011000000
3111122120000000122020
410323031201323000
541312310313411
62232432041440
7245023254630
oct47315417300
914576000566
105288369856
112274168600
121037093280
13663816b43
143824c86c0
1520e419606
hex13b361ec0

5288369856 has 336 divisors, whose sum is σ = 18161203200. Its totient is φ = 1328025600.

The previous prime is 5288369851. The next prime is 5288369897. The reversal of 5288369856 is 6589638825.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5288369856.

It is not an unprimeable number, because it can be changed into a prime (5288369851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5040820 + ... + 5041868.

It is an arithmetic number, because the mean of its divisors is an integer number (54051200).

Almost surely, 25288369856 is an apocalyptic number.

5288369856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5288369856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080601600).

5288369856 is an abundant number, since it is smaller than the sum of its proper divisors (12872833344).

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

5288369856 is a wasteful number, since it uses less digits than its factorization.

5288369856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 60.

The square root of 5288369856 is about 72721.1788683324. The cubic root of 5288369856 is about 1742.2371646624.

The spelling of 5288369856 in words is "five billion, two hundred eighty-eight million, three hundred sixty-nine thousand, eight hundred fifty-six".