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20503530040 = 23571943471907
BaseRepresentation
bin10011000110000110…
…110000101000111000
31221220221000020121111
4103012012300220320
5313442400430130
613230313450104
71324045062340
oct230606605070
957827006544
1020503530040
118771787654
123b82710934
131c19ac76c6
14dc7119d20
1580008002a
hex4c61b0a38

20503530040 has 256 divisors, whose sum is σ = 58027622400. Its totient is φ = 6363173376.

The previous prime is 20503530037. The next prime is 20503530071. The reversal of 20503530040 is 4003530502.

It is a junction number, because it is equal to n+sod(n) for n = 20503529993 and 20503530020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10750767 + ... + 10752673.

It is an arithmetic number, because the mean of its divisors is an integer number (226670400).

Almost surely, 220503530040 is an apocalyptic number.

20503530040 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 20503530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29013811200).

20503530040 is an abundant number, since it is smaller than the sum of its proper divisors (37524092360).

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

20503530040 is a wasteful number, since it uses less digits than its factorization.

20503530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The spelling of 20503530040 in words is "twenty billion, five hundred three million, five hundred thirty thousand, forty".