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9743406402249 = 3613288932
BaseRepresentation
bin1000110111001001000001…
…0001110000101011001001
31021111110102202002221000000
42031302100101300223021
52234113444014332444
632420020433433213
72023636456633422
oct215622021605311
937443382087000
109743406402249
1131171789a4233
12111440710b809
13558a51037100
14259824b50649
1511d6ad33a469
hex8dc90470ac9

9743406402249 has 63 divisors (see below), whose sum is σ = 15820371392517. Its totient is φ = 5995268169696.

The previous prime is 9743406402239. The next prime is 9743406402271. The reversal of 9743406402249 is 9422046043479.

The square root of 9743406402249 is 3121443.

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

9743406402249 is a `hidden beast` number, since 9 + 7 + 4 + 3 + 406 + 4 + 0 + 224 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5002858203849 + 4740548198400 = 2236707^2 + 2177280^2 .

It is not a de Polignac number, because 9743406402249 - 215 = 9743406369481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9743406402195 and 9743406402204.

It is not an unprimeable number, because it can be changed into a prime (9743406402239) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1095622047 + ... + 1095630939.

Almost surely, 29743406402249 is an apocalyptic number.

9743406402249 is the 3121443-rd square number.

9743406402249 is the 1560722-nd centered octagonal number.

It is an amenable number.

9743406402249 is a deficient number, since it is larger than the sum of its proper divisors (6076964990268).

9743406402249 is an frugal number, since it uses more digits than its factorization.

9743406402249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17830 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 9743406402249 in words is "nine trillion, seven hundred forty-three billion, four hundred six million, four hundred two thousand, two hundred forty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 3159 4563 8893 9477 13689 26679 41067 80037 115609 123201 240111 346827 720333 1040481 1502917 2160999 3121443 4508751 6482997 9364329 13526253 28092987 40578759 79085449 84278961 121736277 237256347 365208831 711769041 1028110837 1095626493 2135307123 3084332511 6405921369 9252997533 13365440881 19217764107 27758992599 40096322643 57653292321 83276977797 120288967929 249830933391 360866903787 749492800173 1082600711361 3247802134083 9743406402249