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20331435040 = 2557711671531
BaseRepresentation
bin10010111011110110…
…010001010000100000
31221110221011220122121
4102323312101100200
5313114321410130
613201245114024
71316555226550
oct227366212040
957427156577
1020331435040
118693624084
123b34b58914
131bc0260947
14dac31d160
157dedd8d7a
hex4bbd91420

20331435040 has 192 divisors, whose sum is σ = 56037961728. Its totient is φ = 6826982400.

The previous prime is 20331434989. The next prime is 20331435083. The reversal of 20331435040 is 4053413302.

It is a junction number, because it is equal to n+sod(n) for n = 20331434996 and 20331435014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13279075 + ... + 13280605.

It is an arithmetic number, because the mean of its divisors is an integer number (291864384).

Almost surely, 220331435040 is an apocalyptic number.

20331435040 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 20331435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28018980864).

20331435040 is an abundant number, since it is smaller than the sum of its proper divisors (35706526688).

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

20331435040 is a wasteful number, since it uses less digits than its factorization.

20331435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 20331435040 its reverse (4053413302), we get a palindrome (24384848342).

The spelling of 20331435040 in words is "twenty billion, three hundred thirty-one million, four hundred thirty-five thousand, forty".