Search a number
-
+
9980323497225 = 325223291572
BaseRepresentation
bin1001000100111011100110…
…1000110000010100001001
31022100002221220102100100100
42101032321220300110021
52302004200303402400
633120521453200013
72050024502003064
oct221167150602411
938302856370310
109980323497225
1131a86a4478284
121152306190009
135751a97b7883
1426709bbb58db
151249277c8100
hex913b9a30509

9980323497225 has 81 divisors (see below), whose sum is σ = 18688912728213. Its totient is φ = 5090855394240.

The previous prime is 9980323497163. The next prime is 9980323497281. The reversal of 9980323497225 is 5227943230899.

The square root of 9980323497225 is 3159165.

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

9980323497225 is a `hidden beast` number, since 9 + 9 + 80 + 323 + 4 + 9 + 7 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2777412234249 + 7202911262976 = 1666557^2 + 2683824^2 .

It is not a de Polignac number, because 9980323497225 - 29 = 9980323496713 is a prime.

It is a super-2 number, since 2×99803234972252 (a number of 27 digits) contains 22 as substring.

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, 1089907347 + ... + 1089916503.

Almost surely, 29980323497225 is an apocalyptic number.

9980323497225 is the 3159165-th square number.

9980323497225 is the 1579583-rd centered octagonal number.

It is an amenable number.

9980323497225 is a deficient number, since it is larger than the sum of its proper divisors (8708589230988).

9980323497225 is an frugal number, since it uses more digits than its factorization.

9980323497225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18376 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9980323497225 in words is "nine trillion, nine hundred eighty billion, three hundred twenty-three million, four hundred ninety-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 529 575 1035 1587 1725 2645 4761 5175 7935 9157 13225 23805 27471 39675 45785 82413 119025 137355 210611 228925 412065 631833 686775 1053055 1895499 2060325 3159165 4844053 5265275 9477495 14532159 15795825 24220265 43596477 47387475 72660795 83850649 121101325 217982385 251551947 363303975 419253245 754655841 1089911925 1257759735 1928564927 2096266225 3773279205 5785694781 6288798675 9642824635 17357084343 18866396025 28928473905 44356993321 48214123175 86785421715 133070979963 144642369525 221784966605 399212939889 433927108575 665354899815 1108924833025 1996064699445 3326774499075 9980323497225