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9809912025 = 3452312712
BaseRepresentation
bin10010010001011011…
…10110000011011001
3221022200002011110000
421020231312003121
5130042314141100
64301232243213
7465045606414
oct111055660331
927280064400
109809912025
114184492111
121a993a0509
13c044c3994
14690c00b7b
153c6360900
hex248b760d9

9809912025 has 135 divisors (see below), whose sum is σ = 19044610959. Its totient is φ = 4991868000.

The previous prime is 9809912011. The next prime is 9809912069. The reversal of 9809912025 is 5202199089.

The square root of 9809912025 is 99045.

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

It can be written as a sum of positive squares in only one way, i.e., 3531568329 + 6278343696 = 59427^2 + 79236^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 9809912025 - 29 = 9809911513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 138167740 + ... + 138167810.

Almost surely, 29809912025 is an apocalyptic number.

9809912025 is the 99045-th square number.

9809912025 is the 49523-rd centered octagonal number.

It is an amenable number.

9809912025 is a deficient number, since it is larger than the sum of its proper divisors (9234698934).

9809912025 is an equidigital number, since it uses as much as digits as its factorization.

9809912025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The cubic root of 9809912025 is about 2140.6961971169.

The spelling of 9809912025 in words is "nine billion, eight hundred nine million, nine hundred twelve thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 71 75 81 93 135 155 213 225 279 355 405 465 639 675 775 837 961 1065 1395 1775 1917 2025 2201 2325 2511 2883 3195 4185 4805 5041 5325 5751 6603 6975 8649 9585 11005 12555 14415 15123 15975 19809 20925 24025 25205 25947 28755 33015 43245 45369 47925 55025 59427 62775 68231 72075 75615 77841 99045 126025 129735 136107 143775 156271 165075 178281 204693 216225 226845 297135 341155 378075 389205 408321 468813 495225 614079 648675 680535 781355 891405 1023465 1134225 1406439 1485675 1705775 1842237 1946025 2041605 2344065 3070395 3402675 3906775 4219317 4457025 4844401 5117325 5526711 7032195 9211185 10208025 11720325 12657951 14533203 15351975 21096585 24222005 27633555 35160975 43599609 46055925 63289755 72666015 105482925 121110025 130798827 138167775 217998045 316448775 363330075 392396481 653994135 1089990225 1961982405 3269970675 9809912025