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18053953225 = 52721123492
BaseRepresentation
bin10000110100000110…
…010111011011001001
31201121012200211221021
4100310012113123021
5243433303000400
612143250512441
71206252033100
oct206406273311
951535624837
1018053953225
117724a93300
1235ba295721
131919471179
14c33a73037
15709eb471a
hex4341976c9

18053953225 has 81 divisors (see below), whose sum is σ = 28706828661. Its totient is φ = 11222164800.

The previous prime is 18053953139. The next prime is 18053953249. The reversal of 18053953225 is 52235935081.

The square root of 18053953225 is 134365.

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 185749641 + 17868203584 = 13629^2 + 133672^2 .

It is not a de Polignac number, because 18053953225 - 217 = 18053822153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51730351 + ... + 51730699.

Almost surely, 218053953225 is an apocalyptic number.

18053953225 is the 134365-th square number.

18053953225 is the 67183-rd centered octagonal number.

It is an amenable number.

18053953225 is a deficient number, since it is larger than the sum of its proper divisors (10652875436).

18053953225 is an equidigital number, since it uses as much as digits as its factorization.

18053953225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 18053953225 in words is "eighteen billion, fifty-three million, nine hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 349 385 539 605 847 1225 1745 1925 2443 2695 3025 3839 4235 5929 8725 12215 13475 17101 19195 21175 26873 29645 42229 61075 85505 95975 121801 134365 148225 188111 211145 295603 427525 609005 671825 852607 940555 1055725 1339811 1478015 2069221 3045025 4263035 4702775 5968249 6699055 7390075 9378677 10346105 14737921 21315175 29841245 33495275 46893385 51730525 65650739 73689605 103165447 149206225 234466925 328253695 368448025 515827235 722158129 1641268475 2579136175 3610790645 18053953225