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20195505792 = 273471141617
BaseRepresentation
bin10010110011101111…
…101111011010000000
31221010110101222210000
4102303233233122000
5312330022141132
613135551440000
71313314652430
oct226357573200
957113358700
1020195505792
118623922460
123ab7526000
131b9b04a437
14d982582c0
157d2ed887c
hex4b3bef680

20195505792 has 640 divisors, whose sum is σ = 76883748480. Its totient is φ = 5109350400.

The previous prime is 20195505791. The next prime is 20195505817. The reversal of 20195505792 is 29750559102.

20195505792 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 550 + 5 + 7 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20195505791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32731468 + ... + 32732084.

It is an arithmetic number, because the mean of its divisors is an integer number (120130857).

Almost surely, 220195505792 is an apocalyptic number.

20195505792 is a gapful number since it is divisible by the number (22) 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 20195505792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38441874240).

20195505792 is an abundant number, since it is smaller than the sum of its proper divisors (56688242688).

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

20195505792 is a wasteful number, since it uses less digits than its factorization.

20195505792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 20195505792 in words is "twenty billion, one hundred ninety-five million, five hundred five thousand, seven hundred ninety-two".