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5928681330 = 23351113433571
BaseRepresentation
bin1011000010110000…
…00111111101110010
3120022011212012212000
411201120013331302
544120220300310
62420144114430
7266626650135
oct54130077562
916264765760
105928681330
11257264a040
121195605a16
13736387c80
1440356621c
1524a74b4c0
hex161607f72

5928681330 has 256 divisors, whose sum is σ = 19011041280. Its totient is φ = 1295481600.

The previous prime is 5928681293. The next prime is 5928681331. The reversal of 5928681330 is 331868295.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (5928681331) 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 127 ways as a sum of consecutive naturals, for example, 1658445 + ... + 1662015.

It is an arithmetic number, because the mean of its divisors is an integer number (74261880).

Almost surely, 25928681330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5928681330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505520640).

5928681330 is an abundant number, since it is smaller than the sum of its proper divisors (13082359950).

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

5928681330 is a wasteful number, since it uses less digits than its factorization.

5928681330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5928681330 is about 76997.9306864801. The cubic root of 5928681330 is about 1809.8921753377.

The spelling of 5928681330 in words is "five billion, nine hundred twenty-eight million, six hundred eighty-one thousand, three hundred thirty".