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20537838720 = 2732571719283
BaseRepresentation
bin10011001000001001…
…101000110010000000
31222000022120022021100
4103020021220302000
5314030141314340
613233541054400
71324642514550
oct231011506200
958008508240
1020537838720
11878a090233
123b920b7400
131c23c4a8b9
14dcb8cb160
158030aa830
hex4c8268c80

20537838720 has 1152 divisors, whose sum is σ = 91664576640. Its totient is φ = 4135256064.

The previous prime is 20537838719. The next prime is 20537838721. The reversal of 20537838720 is 2783873502.

20537838720 is a `hidden beast` number, since 205 + 378 + 3 + 8 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20537838719) and next prime (20537838721).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20537838721) 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 143 ways as a sum of consecutive naturals, for example, 247443799 + ... + 247443881.

It is an arithmetic number, because the mean of its divisors is an integer number (79569945).

Almost surely, 220537838720 is an apocalyptic number.

20537838720 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 20537838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45832288320).

20537838720 is an abundant number, since it is smaller than the sum of its proper divisors (71126737920).

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

20537838720 is a wasteful number, since it uses less digits than its factorization.

20537838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20537838720 in words is "twenty billion, five hundred thirty-seven million, eight hundred thirty-eight thousand, seven hundred twenty".