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199095597792 = 25327139778317
BaseRepresentation
bin1011100101101100000…
…1011011101011100000
3201000220022111021220100
42321123001123223200
511230221433112132
6231244021342400
720245526441610
oct2713301335340
9630808437810
10199095597792
1177488302463
1232704867a00
1315a0bb43b40
1498c9d3aa40
1552a3d7837c
hex2e5b05bae0

199095597792 has 288 divisors, whose sum is σ = 704027443392. Its totient is φ = 51966738432.

The previous prime is 199095597773. The next prime is 199095597817. The reversal of 199095597792 is 297795590991.

199095597792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 199095597792.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2503018 + ... + 2581334.

It is an arithmetic number, because the mean of its divisors is an integer number (2444539734).

Almost surely, 2199095597792 is an apocalyptic number.

199095597792 is a gapful number since it is divisible by the number (12) 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 199095597792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352013721696).

199095597792 is an abundant number, since it is smaller than the sum of its proper divisors (504931845600).

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

199095597792 is a wasteful number, since it uses less digits than its factorization.

199095597792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78450 (or 78439 counting only the distinct ones).

The product of its (nonzero) digits is 144670050, while the sum is 72.

The spelling of 199095597792 in words is "one hundred ninety-nine billion, ninety-five million, five hundred ninety-seven thousand, seven hundred ninety-two".