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20439571968 = 29333789449
BaseRepresentation
bin10011000010010010…
…110001111000000000
31221202110122211122000
4103002102301320000
5313330012300333
613220110544000
71322340331554
oct230222617000
957673584560
1020439571968
118739672a42
123b65208000
131c09792caa
14dbc82b864
157e9649713
hex4c24b1e00

20439571968 has 320 divisors, whose sum is σ = 62975880000. Its totient is φ = 6539968512.

The previous prime is 20439571963. The next prime is 20439572029. The reversal of 20439571968 is 86917593402.

20439571968 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 9 + 571 + 9 + 68 = 666.

It is a super-2 number, since 2×204395719682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20439571963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45522208 + ... + 45522656.

It is an arithmetic number, because the mean of its divisors is an integer number (196799625).

It is a 1-persistent number, because it is pandigital, but 2⋅20439571968 = 40879143936 is not.

Almost surely, 220439571968 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 20439571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940000).

20439571968 is an abundant number, since it is smaller than the sum of its proper divisors (42536308032).

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

20439571968 is an equidigital number, since it uses as much as digits as its factorization.

20439571968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20439571968 in words is "twenty billion, four hundred thirty-nine million, five hundred seventy-one thousand, nine hundred sixty-eight".