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9703069250625 = 325441210132
BaseRepresentation
bin1000110100110010101111…
…1111101111010001000001
31021100121022120122022102100
42031030223333233101001
52232433341212010000
632345310052341013
72021011046540322
oct215145377572101
937317276568370
109703069250625
1131010596a7193
12110862a314769
13554cc317985a
142578b989c449
1511c5ebe56a00
hex8d32bfef441

9703069250625 has 135 divisors (see below), whose sum is σ = 17969148045277. Its totient is φ = 5043767520000.

The previous prime is 9703069250533. The next prime is 9703069250639. The reversal of 9703069250625 is 5260529603079.

The square root of 9703069250625 is 3114975.

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

9703069250625 is a `hidden beast` number, since 9 + 7 + 0 + 3 + 0 + 6 + 9 + 2 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 3158327601 + 9699910923024 = 56199^2 + 3114468^2 .

It is not a de Polignac number, because 9703069250625 - 211 = 9703069248577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9578547619 + ... + 9578548631.

Almost surely, 29703069250625 is an apocalyptic number.

9703069250625 is the 3114975-th square number.

9703069250625 is the 1557488-th centered octagonal number.

It is an amenable number.

9703069250625 is a deficient number, since it is larger than the sum of its proper divisors (8266078794652).

9703069250625 is an frugal number, since it uses more digits than its factorization.

9703069250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 9703069250625 in words is "nine trillion, seven hundred three billion, sixty-nine million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 205 225 369 375 615 625 1013 1025 1125 1681 1845 1875 3039 3075 5043 5065 5125 5625 8405 9117 9225 15129 15195 15375 25215 25325 25625 41533 42025 45585 46125 75645 75975 76875 124599 126075 126625 207665 210125 227925 230625 373797 378225 379875 622995 630375 633125 1026169 1038325 1050625 1139625 1702853 1868985 1891125 1899375 3078507 3114975 3151875 5108559 5130845 5191625 5698125 8514265 9235521 9344925 9455625 15325677 15392535 15574875 25542795 25654225 25958125 42072929 42571325 46177605 46724625 76628385 76962675 77874375 126218787 127713975 128271125 210364645 212856625 230888025 233623125 378656361 383141925 384813375 631093935 638569875 641355625 1051823225 1064283125 1154440125 1724990089 1893281805 1915709625 1924066875 3155469675 3192849375 5174970267 5259116125 5772200625 8624950445 9466409025 9578548125 15524910801 15777348375 25874851335 26295580625 43124752225 47332045125 77624554005 78886741875 129374256675 215623761125 236660225625 388122770025 646871283375 1078118805625 1940613850125 3234356416875 9703069250625