Search a number
-
+
20659554240 = 26351319151577
BaseRepresentation
bin10011001111011001…
…111100011111000000
31222022210121002120120
4103033121330133000
5314302321213430
613254005540240
71330651212363
oct231731743700
958283532516
1020659554240
118841863976
124006a14680
131c43225610
14dddb320da
1580daee610
hex4cf67c7c0

20659554240 has 448 divisors, whose sum is σ = 74979824640. Its totient is φ = 4777574400.

The previous prime is 20659554233. The next prime is 20659554269. The reversal of 20659554240 is 4245595602.

It is a junction number, because it is equal to n+sod(n) for n = 20659554192 and 20659554201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35804832 + ... + 35805408.

It is an arithmetic number, because the mean of its divisors is an integer number (167365680).

Almost surely, 220659554240 is an apocalyptic number.

20659554240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20659554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37489912320).

20659554240 is an abundant number, since it is smaller than the sum of its proper divisors (54320270400).

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

20659554240 is a wasteful number, since it uses less digits than its factorization.

20659554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 20659554240 in words is "twenty billion, six hundred fifty-nine million, five hundred fifty-four thousand, two hundred forty".