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199425658041 = 34294592
BaseRepresentation
bin1011100110111010110…
…0100000110010111001
3201001202022120002110000
42321232230200302321
511231410432024131
6231340451543213
720256645060441
oct2715654406271
9631668502400
10199425658041
1177637648625
12327972bab09
1315a6233816c
14991bad7121
1552c2d23ce6
hex2e6eb20cb9

199425658041 has 75 divisors (see below), whose sum is σ = 313865249401. Its totient is φ = 126190246896.

The previous prime is 199425658021. The next prime is 199425658049. The reversal of 199425658041 is 140856524991.

The square root of 199425658041 is 446571.

It is a perfect power (a square), and thus also a powerful number.

199425658041 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 2 + 56 + 580 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 473976441 + 198951681600 = 21771^2 + 446040^2 .

It is not a de Polignac number, because 199425658041 - 27 = 199425657913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199425658049) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3380095870 + ... + 3380095928.

Almost surely, 2199425658041 is an apocalyptic number.

199425658041 is the 446571-st square number.

199425658041 is the 223286-th centered octagonal number.

It is an amenable number.

199425658041 is a deficient number, since it is larger than the sum of its proper divisors (114439591360).

199425658041 is an frugal number, since it uses more digits than its factorization.

199425658041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 199425658041 in words is "one hundred ninety-nine billion, four hundred twenty-five million, six hundred fifty-eight thousand, forty-one".

Divisors: 1 3 9 27 29 59 81 87 177 261 531 783 841 1593 1711 2349 2523 3481 4779 5133 7569 10443 15399 22707 24389 31329 46197 49619 68121 73167 93987 100949 138591 148857 219501 281961 302847 446571 658503 707281 908541 1339713 1438951 1975509 2121843 2725623 2927521 4019139 4316853 6365529 8176869 8782563 12950559 19096587 26347689 38851677 41729579 57289761 79043067 84898109 116555031 125188737 237129201 254694327 375566211 764082981 1126698633 2292248943 2462045161 3380095899 6876746829 7386135483 22158406449 66475219347 199425658041