Search a number
-
+
17941705135225 = 52192445872
BaseRepresentation
bin1000001010001011000001…
…11101100001010001111001
32100112012200021112200201221
410011011200331201101321
54322424103003311400
6102054145555512041
73531150115236544
oct405054075412171
970465607480657
1017941705135225
11579804189a563
1220192808b8621
13a01b84649251
1446055157985b
15211a891c0c1a
hex105160f61479

17941705135225 has 27 divisors (see below), whose sum is σ = 23480801349327. Its totient is φ = 13597618916880.

The previous prime is 17941705135177. The next prime is 17941705135241. The reversal of 17941705135225 is 52253150714971.

The square root of 17941705135225 is 4235765.

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

It can be written as a sum of positive squares in only one way, i.e., 6459013848681 + 11482691286544 = 2541459^2 + 3388612^2 .

It is not a de Polignac number, because 17941705135225 - 213 = 17941705127033 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 402375382 + ... + 402419968.

Almost surely, 217941705135225 is an apocalyptic number.

17941705135225 is the 4235765-th square number.

17941705135225 is the 2117883-rd centered octagonal number.

It is an amenable number.

17941705135225 is a deficient number, since it is larger than the sum of its proper divisors (5539096214102).

17941705135225 is an frugal number, since it uses more digits than its factorization.

17941705135225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89222 (or 44611 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 52.

The spelling of 17941705135225 in words is "seventeen trillion, nine hundred forty-one billion, seven hundred five million, one hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 9025 44587 222935 847153 1114675 4235765 16095907 21178825 80479535 402397675 1988000569 9940002845 37772010811 49700014225 188860054055 717668205409 944300270275 3588341027045 17941705135225