Search a number
-
+
20523189764 = 227114147151229
BaseRepresentation
bin10011000111010001…
…110000011000000100
31221222022000001200102
4103013101300120010
5314012414033024
613232255103232
71324404143330
oct230721603004
957868001612
1020523189764
118781895260
123b89211b18
131c20bbbc8c
14dc99967c0
15801b651ae
hex4c7470604

20523189764 has 192 divisors, whose sum is σ = 47362129920. Its totient is φ = 7551360000.

The previous prime is 20523189763. The next prime is 20523189773. The reversal of 20523189764 is 46798132502.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (20523189763) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 89620802 + ... + 89621030.

It is an arithmetic number, because the mean of its divisors is an integer number (246677760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20523189764 = 41046379528, but 3⋅20523189764 = 61569569292 is not.

Almost surely, 220523189764 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 20523189764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23681064960).

20523189764 is an abundant number, since it is smaller than the sum of its proper divisors (26838940156).

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

20523189764 is a wasteful number, since it uses less digits than its factorization.

20523189764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 20523189764 in words is "twenty billion, five hundred twenty-three million, one hundred eighty-nine thousand, seven hundred sixty-four".