Search a number
-
+
20423714304 = 29372893049
BaseRepresentation
bin10011000001010110…
…010010011000000000
31221201100211012000010
4103001112102120000
5313311432324204
613214343024520
71322055464400
oct230126223000
957640735003
1020423714304
118730721934
123b5ba3b140
131c06400166
14dba6a0800
157e8065d89
hex4c1592600

20423714304 has 240 divisors, whose sum is σ = 64025478000. Its totient is φ = 5767888896.

The previous prime is 20423714299. The next prime is 20423714309. The reversal of 20423714304 is 40341732402.

It is an interprime number because it is at equal distance from previous prime (20423714299) and next prime (20423714309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20423714309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6696972 + ... + 6700020.

It is an arithmetic number, because the mean of its divisors is an integer number (266772825).

Almost surely, 220423714304 is an apocalyptic number.

20423714304 is a gapful number since it is divisible by the number (24) 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 20423714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32012739000).

20423714304 is an abundant number, since it is smaller than the sum of its proper divisors (43601763696).

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

20423714304 is an equidigital number, since it uses as much as digits as its factorization.

20423714304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 20423714304 in words is "twenty billion, four hundred twenty-three million, seven hundred fourteen thousand, three hundred four".