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5324124960 = 2532571148017
BaseRepresentation
bin1001111010101011…
…11011001100100000
3111202001021120102100
410331111323030200
541400433444320
62240150250400
7245636213130
oct47525731440
914661246370
105324124960
112292369980
121047056a00
1366b0554cb
14387154ac0
1521262d790
hex13d57b320

5324124960 has 288 divisors, whose sum is σ = 22652203392. Its totient is φ = 1106288640.

The previous prime is 5324124943. The next prime is 5324124961. The reversal of 5324124960 is 694214235.

It is a happy number.

5324124960 is a `hidden beast` number, since 532 + 41 + 24 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5324124961) by changing a digit.

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, 86872 + ... + 134888.

It is an arithmetic number, because the mean of its divisors is an integer number (78653484).

Almost surely, 25324124960 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 5324124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326101696).

5324124960 is an abundant number, since it is smaller than the sum of its proper divisors (17328078432).

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

5324124960 is a wasteful number, since it uses less digits than its factorization.

5324124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48056 (or 48045 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5324124960 is about 72966.6016750129. The cubic root of 5324124960 is about 1746.1548183278.

The spelling of 5324124960 in words is "five billion, three hundred twenty-four million, one hundred twenty-four thousand, nine hundred sixty".