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181740192021025 = 52112232106572
BaseRepresentation
bin101001010100101010101111…
…100101100011101000100001
3212211111012012110110120221221
4221110222233211203220201
5142310112403124133100
61442310142553415041
753165203244352211
oct5124525745435041
9784435173416857
10181740192021025
11529a9645491100
121847257270a481
137a540464b5791
1432c43b4dc8241
15160272d2de01a
hexa54aaf963a21

181740192021025 has 81 divisors (see below), whose sum is σ = 258969818023833. Its totient is φ = 126416096294400.

The previous prime is 181740192021019. The next prime is 181740192021061. The reversal of 181740192021025 is 520120291047181.

The square root of 181740192021025 is 13481105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 74329934633361 + 107410257387664 = 8621481^2 + 10363892^2 .

It is not a de Polignac number, because 181740192021025 - 213 = 181740192012833 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 (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17053592497 + ... + 17053603153.

Almost surely, 2181740192021025 is an apocalyptic number.

181740192021025 is the 13481105-th square number.

181740192021025 is the 6740553-rd centered octagonal number.

It is an amenable number.

181740192021025 is a deficient number, since it is larger than the sum of its proper divisors (77229626002808).

181740192021025 is an frugal number, since it uses more digits than its factorization.

181740192021025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21392 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 181740192021025 in words is "one hundred eighty-one trillion, seven hundred forty billion, one hundred ninety-two million, twenty-one thousand, twenty-five".

Divisors: 1 5 11 23 25 55 115 121 253 275 529 575 605 1265 2645 2783 3025 5819 6325 10657 13225 13915 29095 53285 64009 69575 117227 145475 245111 266425 320045 586135 1225555 1289497 1600225 2696221 2930675 5637553 6127775 6447485 13481105 28187765 29658431 32237425 62013083 67405525 113571649 140938825 148292155 310065415 567858245 682143913 741460775 1249288139 1550327075 2612147927 2839291225 3410719565 6246440695 13060739635 13742169529 17053597825 28733627197 31232203475 60079402321 65303698175 68710847645 143668135985 300397011605 316069899167 343554238225 660873425531 718340679925 1501985058025 1580349495835 3304367127655 7269607680841 7901747479175 16521835638275 36348038404205 181740192021025