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9023619476356 = 2217253216672
BaseRepresentation
bin1000001101001111100110…
…1000100010101110000100
31011221122112120000112201221
42003103321220202232010
52140320333041220411
631105221001530124
71620635463002332
oct203237150425604
934848476015657
109023619476356
112969993a49321
121018a07aa3944
13505c013a66c4
14232a6198ab52
15109ad20a5071
hex834f9a22b84

9023619476356 has 81 divisors (see below), whose sum is σ = 17107618850959. Its totient is φ = 4163788964608.

The previous prime is 9023619476341. The next prime is 9023619476383. The reversal of 9023619476356 is 6536749163209.

It is a happy number.

The square root of 9023619476356 is 3003934.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2260915205956 + 6762704270400 = 1503634^2 + 2600520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9023619476294 and 9023619476303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5413088235 + ... + 5413089901.

Almost surely, 29023619476356 is an apocalyptic number.

9023619476356 is the 3003934-th square number.

It is an amenable number.

9023619476356 is a deficient number, since it is larger than the sum of its proper divisors (8083999374603).

9023619476356 is an equidigital number, since it uses as much as digits as its factorization.

9023619476356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 61.

The spelling of 9023619476356 in words is "nine trillion, twenty-three billion, six hundred nineteen million, four hundred seventy-six thousand, three hundred fifty-six".

Divisors: 1 2 4 17 34 53 68 106 212 289 578 901 1156 1667 1802 2809 3334 3604 5618 6668 11236 15317 28339 30634 47753 56678 61268 88351 95506 113356 176702 191012 353404 481763 811801 963526 1501967 1623602 1927052 2778889 3003934 3247204 4682603 5557778 6007868 9365206 11115556 18730412 25533439 47241113 51066878 79604251 94482226 102133756 147281117 159208502 188964452 294562234 318417004 589124468 803098921 1353272267 1606197842 2503778989 2706544534 3212395684 5007557978 5413089068 7805899201 10015115956 15611798402 31223596804 42564242813 85128485626 132700286417 170256971252 265400572834 530801145668 2255904869089 4511809738178 9023619476356