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20206013040 = 24325431574157
BaseRepresentation
bin10010110100010111…
…110100101001110000
31221011012011211000100
4102310113310221300
5312340214404130
613141004552400
71313503164003
oct226427645160
957135154010
1020206013040
118629849734
123abab52700
131ba0288b45
14d997d153a
157d3db1c60
hex4b45f4a70

20206013040 has 240 divisors, whose sum is σ = 69895713888. Its totient is φ = 5228181504.

The previous prime is 20206013039. The next prime is 20206013041. The reversal of 20206013040 is 4031060202.

It is a happy number.

20206013040 is a `hidden beast` number, since 2 + 0 + 20 + 601 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20206013039) and next prime (20206013041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20206013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4858642 + ... + 4862798.

Almost surely, 220206013040 is an apocalyptic number.

20206013040 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 20206013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34947856944).

20206013040 is an abundant number, since it is smaller than the sum of its proper divisors (49689700848).

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

20206013040 is a wasteful number, since it uses less digits than its factorization.

20206013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20206013040 its reverse (4031060202), we get a palindrome (24237073242).

The spelling of 20206013040 in words is "twenty billion, two hundred six million, thirteen thousand, forty".