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20395694592 = 293371331523
BaseRepresentation
bin10010111111101011…
…011001101000000000
31221122102002122012000
4102333223121220000
5313232244211332
613211502304000
71321265354310
oct227753315000
957572078160
1020395694592
118716924249
123b52588000
131c0066c650
14db6a89440
157e587db7c
hex4bfad9a00

20395694592 has 640 divisors, whose sum is σ = 76848414720. Its totient is φ = 5195612160.

The previous prime is 20395694591. The next prime is 20395694617. The reversal of 20395694592 is 29549659302.

It is a happy number.

20395694592 is a `hidden beast` number, since 2 + 0 + 39 + 569 + 45 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20395694591) 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 63 ways as a sum of consecutive naturals, for example, 38997243 + ... + 38997765.

It is an arithmetic number, because the mean of its divisors is an integer number (120075648).

Almost surely, 220395694592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20395694592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38424207360).

20395694592 is an abundant number, since it is smaller than the sum of its proper divisors (56452720128).

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

20395694592 is a wasteful number, since it uses less digits than its factorization.

20395694592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 20395694592 in words is "twenty billion, three hundred ninety-five million, six hundred ninety-four thousand, five hundred ninety-two".