Search a number
-
+
20458689888 = 25371319232233
BaseRepresentation
bin10011000011011011…
…101101010101100000
31221210210122010111010
4103003123231111200
5313344411034023
613222032420520
71322661665130
oct230333552540
957723563433
1020458689888
11874944057a
123b6b6a7740
131c10727a80
14dc11a6ac0
157eb174093
hex4c36ed560

20458689888 has 576 divisors, whose sum is σ = 73044840960. Its totient is φ = 4868481024.

The previous prime is 20458689887. The next prime is 20458689929. The reversal of 20458689888 is 88898685402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20458689887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87805420 + ... + 87805652.

It is an arithmetic number, because the mean of its divisors is an integer number (126813960).

Almost surely, 220458689888 is an apocalyptic number.

20458689888 is a gapful number since it is divisible by the number (28) 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 20458689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36522420480).

20458689888 is an abundant number, since it is smaller than the sum of its proper divisors (52586151072).

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

20458689888 is a wasteful number, since it uses less digits than its factorization.

20458689888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 66.

The spelling of 20458689888 in words is "twenty billion, four hundred fifty-eight million, six hundred eighty-nine thousand, eight hundred eighty-eight".