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9289481058225 = 325261233312
BaseRepresentation
bin1000011100101110000000…
…1101111111011110110001
31012220001202220111020200100
42013023200031333132301
52204144324122330400
631431310110143013
71646100000111114
oct207134015773661
935801686436610
109289481058225
112a61712976815
1210604444b1a69
13524cc06464a4
14241882bbc57b
15111992672100
hex872e037f7b1

9289481058225 has 81 divisors (see below), whose sum is σ = 16920806224257. Its totient is φ = 4871707416000.

The previous prime is 9289481058211. The next prime is 9289481058227. The reversal of 9289481058225 is 5228501849829.

The square root of 9289481058225 is 3047865.

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

9289481058225 is a `hidden beast` number, since 9 + 2 + 8 + 9 + 48 + 1 + 0 + 582 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4278903239601 + 5010577818624 = 2068551^2 + 2238432^2 .

It is not a de Polignac number, because 9289481058225 - 233 = 9280891123633 is a prime.

It is a super-2 number, since 2×92894810582252 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9289481058227) 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, 2788794810 + ... + 2788798140.

Almost surely, 29289481058225 is an apocalyptic number.

9289481058225 is the 3047865-th square number.

9289481058225 is the 1523933-rd centered octagonal number.

It is an amenable number.

9289481058225 is a deficient number, since it is larger than the sum of its proper divisors (7631325166032).

9289481058225 is an frugal number, since it uses more digits than its factorization.

9289481058225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 9289481058225 in words is "nine trillion, two hundred eighty-nine billion, four hundred eighty-one million, fifty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 305 549 915 1525 2745 3331 3721 4575 9993 11163 13725 16655 18605 29979 33489 49965 55815 83275 93025 149895 167445 203191 249825 279075 609573 749475 837225 1015955 1828719 3047865 5079775 9143595 11095561 12394651 15239325 33286683 37183953 45717975 55477805 61973255 99860049 111551859 166433415 185919765 277389025 309866275 499300245 557759295 676829221 832167075 929598825 2030487663 2496501225 2788796475 3384146105 6091462989 10152438315 16920730525 30457314945 41286582481 50762191575 123859747443 152286574725 206432912405 371579242329 619298737215 1032164562025 1857896211645 3096493686075 9289481058225