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20269928448 = 2123271137193
BaseRepresentation
bin10010111000001011…
…101001000000000000
31221022122110001110200
4102320023221000000
5313003100202243
613151210525200
71315210356210
oct227013510000
957278401420
1020269928448
118661934290
123b18436800
131bb05a7003
14da40ac240
157d97d9ad3
hex4b82e9000

20269928448 has 624 divisors, whose sum is σ = 75359296896. Its totient is φ = 5096079360.

The previous prime is 20269928447. The next prime is 20269928473. The reversal of 20269928448 is 84482996202.

It is a junction number, because it is equal to n+sod(n) for n = 20269928394 and 20269928403.

It is not an unprimeable number, because it can be changed into a prime (20269928443) 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 47 ways as a sum of consecutive naturals, for example, 105025440 + ... + 105025632.

It is an arithmetic number, because the mean of its divisors is an integer number (120768104).

Almost surely, 220269928448 is an apocalyptic number.

20269928448 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 20269928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679648448).

20269928448 is an abundant number, since it is smaller than the sum of its proper divisors (55089368448).

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

20269928448 is a wasteful number, since it uses less digits than its factorization.

20269928448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20269928448 in words is "twenty billion, two hundred sixty-nine million, nine hundred twenty-eight thousand, four hundred forty-eight".