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19542721111225 = 5213223229572
BaseRepresentation
bin1000111000110001001001…
…11100110010010010111001
32120012021011211120002202221
410130120210330302102321
510030141443101024400
6105321445132324041
74054625563424014
oct434304474622271
976167154502687
1019542721111225
116255026653834
122237615913621
13ab9b41bb4100
144b7c30b7237b
1523d53ea8ec1a
hex11c624f324b9

19542721111225 has 81 divisors (see below), whose sum is σ = 27440211769383. Its totient is φ = 13799421018240.

The previous prime is 19542721111223. The next prime is 19542721111253. The reversal of 19542721111225 is 52211112724591.

The square root of 19542721111225 is 4420715.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19396176083881 + 146545027344 = 4404109^2 + 382812^2 .

It is not a de Polignac number, because 19542721111225 - 21 = 19542721111223 is a prime.

It is a super-2 number, since 2×195427211112252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19542721111223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6608967447 + ... + 6608970403.

Almost surely, 219542721111225 is an apocalyptic number.

19542721111225 is the 4420715-th square number.

19542721111225 is the 2210358-th centered octagonal number.

It is an amenable number.

19542721111225 is a deficient number, since it is larger than the sum of its proper divisors (7897490658158).

19542721111225 is an frugal number, since it uses more digits than its factorization.

19542721111225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 2998 counting only the distinct ones).

The product of its digits is 100800, while the sum is 43.

The spelling of 19542721111225 in words is "nineteen trillion, five hundred forty-two billion, seven hundred twenty-one million, one hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 13 23 25 65 115 169 299 325 529 575 845 1495 2645 2957 3887 4225 6877 7475 13225 14785 19435 34385 38441 68011 73925 89401 97175 171925 192205 340055 447005 499733 884143 961025 1564253 1700275 2235025 2498665 4420715 7821265 8743849 11493859 12493325 20335289 22103575 39106325 43719245 57469295 101676445 113670037 201108527 218596225 264358757 287346475 508382225 568350185 1005542635 1321793785 1477710481 2614410851 2841750925 4625496121 5027713175 6608968925 7388552405 13072054255 23127480605 33987341063 36942762025 60131449573 65360271275 115637403025 169936705315 300657247865 781708844449 849683526575 1503286239325 3908544222245 19542721111225