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5365128960 = 2835547367
BaseRepresentation
bin1001111111100100…
…10101111100000000
3111211220102210100000
410333302111330000
541441433111320
62244213200000
7246644562252
oct47762257400
914756383300
105365128960
112303525884
121058930000
136766b1029
1438c789cd2
1521602cc90
hex13fc95f00

5365128960 has 432 divisors, whose sum is σ = 19713447936. Its totient is φ = 1396445184.

The previous prime is 5365128943. The next prime is 5365128983. The reversal of 5365128960 is 698215635.

5365128960 is a `hidden beast` number, since 5 + 365 + 1 + 289 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14618697 + ... + 14619063.

Almost surely, 25365128960 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 5365128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9856723968).

5365128960 is an abundant number, since it is smaller than the sum of its proper divisors (14348318976).

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

5365128960 is an equidigital number, since it uses as much as digits as its factorization.

5365128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5365128960 is about 73247.0406228129. The cubic root of 5365128960 is about 1750.6260573637.

The spelling of 5365128960 in words is "five billion, three hundred sixty-five million, one hundred twenty-eight thousand, nine hundred sixty".