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20324435040 = 25325713433607
BaseRepresentation
bin10010111011011011…
…100100010001100000
31221110110000021110100
4102323123210101200
5313111023410130
613200435102400
71316441563440
oct227333442140
957413007410
1020324435040
11868a682958
123b32741a00
131bbb97c730
14dab41a120
157de4a4c60
hex4bb6e4460

20324435040 has 576 divisors, whose sum is σ = 87372020736. Its totient is φ = 4187344896.

The previous prime is 20324435039. The next prime is 20324435069. The reversal of 20324435040 is 4053442302.

20324435040 is a `hidden beast` number, since 203 + 24 + 435 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20324434995 and 20324435013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5632917 + ... + 5636523.

It is an arithmetic number, because the mean of its divisors is an integer number (151687536).

Almost surely, 220324435040 is an apocalyptic number.

20324435040 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 20324435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43686010368).

20324435040 is an abundant number, since it is smaller than the sum of its proper divisors (67047585696).

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

20324435040 is a wasteful number, since it uses less digits than its factorization.

20324435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 20324435040 its reverse (4053442302), we get a palindrome (24377877342).

The spelling of 20324435040 in words is "twenty billion, three hundred twenty-four million, four hundred thirty-five thousand, forty".