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5365452960 = 25345731771
BaseRepresentation
bin1001111111100111…
…00101000010100000
3111211221001020210000
410333303211002200
541442023443320
62244224140000
7246650412000
oct47763450240
914757036700
105365452960
11230372724a
121058a67600
1367679564a
1438c832000
15216093c90
hex13fce50a0

5365452960 has 960 divisors, whose sum is σ = 23710579200. Its totient is φ = 1137991680.

The previous prime is 5365452941. The next prime is 5365453001. The reversal of 5365452960 is 692545635.

5365452960 is a `hidden beast` number, since 5 + 3 + 65 + 4 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75569725 + ... + 75569795.

It is an arithmetic number, because the mean of its divisors is an integer number (24698520).

Almost surely, 25365452960 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 5365452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855289600).

5365452960 is an abundant number, since it is smaller than the sum of its proper divisors (18345126240).

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

5365452960 is a wasteful number, since it uses less digits than its factorization.

5365452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5365452960 is about 73249.2522828732. The cubic root of 5365452960 is about 1750.6612967418.

The spelling of 5365452960 in words is "five billion, three hundred sixty-five million, four hundred fifty-two thousand, nine hundred sixty".