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5327965440 = 28325766071
BaseRepresentation
bin1001111011001001…
…00100110100000000
3111202022111200120100
410331210210310000
541402424343230
62240404442400
7246013646640
oct47544446400
914668450510
105327965440
112294552326
1210483a9400
1366ba9b595
14387874520
15212b3b660
hex13d924d00

5327965440 has 216 divisors, whose sum is σ = 21067982208. Its totient is φ = 1217802240.

The previous prime is 5327965429. The next prime is 5327965459. The reversal of 5327965440 is 445697235.

5327965440 is a `hidden beast` number, since 5 + 32 + 79 + 6 + 544 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47605 + ... + 113675.

Almost surely, 25327965440 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 5327965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533991104).

5327965440 is an abundant number, since it is smaller than the sum of its proper divisors (15740016768).

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

5327965440 is a wasteful number, since it uses less digits than its factorization.

5327965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66105 (or 66088 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5327965440 is about 72992.9136286530. The cubic root of 5327965440 is about 1746.5745718654.

The spelling of 5327965440 in words is "five billion, three hundred twenty-seven million, nine hundred sixty-five thousand, four hundred forty".