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5332354560 = 293251319937
BaseRepresentation
bin1001111011101010…
…10100011000000000
3111202121202200022100
410331311110120000
541410040321220
62241042510400
7246066160131
oct47565243000
914677680270
105332354560
112296a7a9a5
121049965400
1366c9772b0
14388297c88
15213206d90
hex13dd54600

5332354560 has 480 divisors, whose sum is σ = 20957096160. Its totient is φ = 1242169344.

The previous prime is 5332354549. The next prime is 5332354639. The reversal of 5332354560 is 654532335.

5332354560 is a `hidden beast` number, since 5 + 33 + 23 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5690412 + ... + 5691348.

It is an arithmetic number, because the mean of its divisors is an integer number (43660617).

Almost surely, 25332354560 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 5332354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478548080).

5332354560 is an abundant number, since it is smaller than the sum of its proper divisors (15624741600).

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

5332354560 is a wasteful number, since it uses less digits than its factorization.

5332354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 5332354560 is about 73022.9728236259. The cubic root of 5332354560 is about 1747.0540432758.

Adding to 5332354560 its reverse (654532335), we get a palindrome (5986886895).

The spelling of 5332354560 in words is "five billion, three hundred thirty-two million, three hundred fifty-four thousand, five hundred sixty".