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5329739520 = 28335722031
BaseRepresentation
bin1001111011010110…
…10101111100000000
3111202102211211011000
410331223111330000
541403403131040
62240510452000
7246035016120
oct47553257400
914672754130
105329739520
112295554206
121048b04000
1366c26cc31
14387bb6c80
15212d8c130
hex13dad5f00

5329739520 has 288 divisors, whose sum is σ = 21616035840. Its totient is φ = 1218170880.

The previous prime is 5329739497. The next prime is 5329739551. The reversal of 5329739520 is 259379235.

5329739520 is a `hidden beast` number, since 5 + 3 + 2 + 97 + 39 + 520 = 666.

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

It is a super-2 number, since 2×53297395202 = 56812246702099660800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 230905 + ... + 252935.

It is an arithmetic number, because the mean of its divisors is an integer number (75055680).

Almost surely, 25329739520 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 5329739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808017920).

5329739520 is an abundant number, since it is smaller than the sum of its proper divisors (16286296320).

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

5329739520 is a wasteful number, since it uses less digits than its factorization.

5329739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22068 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5329739520 is about 73005.0650297635. The cubic root of 5329739520 is about 1746.7684056531.

The spelling of 5329739520 in words is "five billion, three hundred twenty-nine million, seven hundred thirty-nine thousand, five hundred twenty".