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195701920848 = 24327337173619
BaseRepresentation
bin1011011001000010111…
…1100101010001010000
3200201010210200122022200
42312100233211101100
511201244142431343
6225523151203200
720065450611000
oct2662057452120
9621123618280
10195701920848
1175aa66a5775
1231b18216500
13155baa23085
149687338000
155155e6e4d3
hex2d90be5450

195701920848 has 480 divisors, whose sum is σ = 660829728000. Its totient is φ = 54001769472.

The previous prime is 195701920837. The next prime is 195701920867. The reversal of 195701920848 is 848029107591.

It is a happy number.

195701920848 is a `hidden beast` number, since 1 + 9 + 570 + 1 + 9 + 20 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 195701920794 and 195701920803.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 316157883 + ... + 316158501.

It is an arithmetic number, because the mean of its divisors is an integer number (1376728600).

Almost surely, 2195701920848 is an apocalyptic number.

195701920848 is a gapful number since it is divisible by the number (18) 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 195701920848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330414864000).

195701920848 is an abundant number, since it is smaller than the sum of its proper divisors (465127807152).

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

195701920848 is a wasteful number, since it uses less digits than its factorization.

195701920848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 195701920848 in words is "one hundred ninety-five billion, seven hundred one million, nine hundred twenty thousand, eight hundred forty-eight".