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199046298225 = 35282110633041
BaseRepresentation
bin1011100101100000010…
…1010111101001110001
3201000202212201121121110
42321120011113221301
511230121323020400
6231235100543533
720244360422235
oct2713005275161
9630685647543
10199046298225
117746249aa15
12326b0251ba9
1315a018724b8
1498c35865c5
15529e88ae50
hex2e58157a71

199046298225 has 48 divisors (see below), whose sum is σ = 329909134464. Its totient is φ = 105894144000.

The previous prime is 199046298203. The next prime is 199046298251. The reversal of 199046298225 is 522892640991.

It is a happy number.

199046298225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 199046298225 - 26 = 199046298161 is a prime.

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, 65452705 + ... + 65455745.

It is an arithmetic number, because the mean of its divisors is an integer number (6873106968).

Almost surely, 2199046298225 is an apocalyptic number.

199046298225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199046298225 is a deficient number, since it is larger than the sum of its proper divisors (130862836239).

199046298225 is a wasteful number, since it uses less digits than its factorization.

199046298225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 199046298225 in words is "one hundred ninety-nine billion, forty-six million, two hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 821 1063 2463 3041 3189 4105 5315 9123 12315 15205 15945 20525 26575 45615 61575 76025 79725 228075 872723 2496661 2618169 3232583 4363615 7489983 9697749 12483305 13090845 16162915 21818075 37449915 48488745 62416525 65454225 80814575 187249575 242443725 2653950643 7961851929 13269753215 39809259645 66348766075 199046298225