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5319274752 = 283311431627
BaseRepresentation
bin1001111010000110…
…11011000100000000
3111201201011011012000
410331003123010000
541343213243002
62235454304000
7245550042441
oct47503330400
914651134160
105319274752
11228a656940
1210454b8000
1366a04796c
143866512c8
15211ec161c
hex13d0db100

5319274752 has 288 divisors, whose sum is σ = 17569896960. Its totient is φ = 1573447680.

The previous prime is 5319274729. The next prime is 5319274759. The reversal of 5319274752 is 2574729135.

It is a happy number.

5319274752 is a `hidden beast` number, since 531 + 9 + 27 + 47 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5319274698 and 5319274707.

It is not an unprimeable number, because it can be changed into a prime (5319274759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3268563 + ... + 3270189.

Almost surely, 25319274752 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 5319274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784948480).

5319274752 is an abundant number, since it is smaller than the sum of its proper divisors (12250622208).

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

5319274752 is a wasteful number, since it uses less digits than its factorization.

5319274752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1686 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5319274752 is about 72933.3582937191. The cubic root of 5319274752 is about 1745.6244158538.

The spelling of 5319274752 in words is "five billion, three hundred nineteen million, two hundred seventy-four thousand, seven hundred fifty-two".