Search a number
-
+
20237028768 = 25331123432153
BaseRepresentation
bin10010110110001110…
…001000110110100000
31221020100112120121000
4102312032020312200
5312421134410033
613144033432000
71314330622605
oct226616106640
957210476530
1020237028768
118645303270
123b0940b600
131ba6828248
14d9d9866ac
157d698ba13
hex4b6388da0

20237028768 has 384 divisors, whose sum is σ = 68784629760. Its totient is φ = 5726730240.

The previous prime is 20237028767. The next prime is 20237028781. The reversal of 20237028768 is 86782073202.

20237028768 is a `hidden beast` number, since 202 + 370 + 2 + 8 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (20237028767) 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, 9398380 + ... + 9400532.

It is an arithmetic number, because the mean of its divisors is an integer number (179126640).

Almost surely, 220237028768 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 20237028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34392314880).

20237028768 is an abundant number, since it is smaller than the sum of its proper divisors (48547600992).

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

20237028768 is a wasteful number, since it uses less digits than its factorization.

20237028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20237028768 in words is "twenty billion, two hundred thirty-seven million, twenty-eight thousand, seven hundred sixty-eight".