Search a number
-
+
5688666720 = 2533511592029
BaseRepresentation
bin1010100110001001…
…00010101001100000
3112200110020012201000
411103010202221200
543122244313340
62340251512000
7260653604112
oct52304425140
915613205630
105688666720
11245a116560
121129158600
136c87305a9
143bd7293b2
1523463ad30
hex153122a60

5688666720 has 384 divisors, whose sum is σ = 22099392000. Its totient is φ = 1355028480.

The previous prime is 5688666689. The next prime is 5688666721. The reversal of 5688666720 is 276668865.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5688666721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2802666 + ... + 2804694.

It is an arithmetic number, because the mean of its divisors is an integer number (57550500).

Almost surely, 25688666720 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 5688666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049696000).

5688666720 is an abundant number, since it is smaller than the sum of its proper divisors (16410725280).

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

5688666720 is a wasteful number, since it uses less digits than its factorization.

5688666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5688666720 is about 75423.2505266115. The cubic root of 5688666720 is about 1785.1312946289.

The spelling of 5688666720 in words is "five billion, six hundred eighty-eight million, six hundred sixty-six thousand, seven hundred twenty".