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20441295840 = 25357314432
BaseRepresentation
bin10011000010011001…
…010110101111100000
31221202120220102100010
4103002121112233200
5313330432431330
613220211524520
71322361101460
oct230231265740
957676812303
1020441295840
11873a640129
123b658b9740
131c09c47834
14dbcb59ba0
157e988a3b0
hex4c2656be0

20441295840 has 288 divisors, whose sum is σ = 76134352896. Its totient is φ = 4511370240.

The previous prime is 20441295829. The next prime is 20441295869. The reversal of 20441295840 is 4859214402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46142659 + ... + 46143101.

It is an arithmetic number, because the mean of its divisors is an integer number (264355392).

Almost surely, 220441295840 is an apocalyptic number.

20441295840 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 20441295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38067176448).

20441295840 is an abundant number, since it is smaller than the sum of its proper divisors (55693057056).

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

20441295840 is an equidigital number, since it uses as much as digits as its factorization.

20441295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 20441295840 in words is "twenty billion, four hundred forty-one million, two hundred ninety-five thousand, eight hundred forty".