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6082443320121 = 3672130492
BaseRepresentation
bin101100010000010110111…
…0111111001101100111001
3210112110211221012011000000
41120200231313321230321
51244123320442220441
620534122541303213
71165304421113100
oct130405567715471
923473757164000
106082443320121
111a3560575a063
12822999b64b09
1335175873a35c
1417056b263037
15a8341bd82b6
hex5882ddf9b39

6082443320121 has 63 divisors (see below), whose sum is σ = 10609203086751. Its totient is φ = 3475415541024.

The previous prime is 6082443320113. The next prime is 6082443320267. The reversal of 6082443320121 is 1210233442806.

The square root of 6082443320121 is 2466261.

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

6082443320121 is a `hidden beast` number, since 6 + 0 + 8 + 2 + 443 + 3 + 201 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3465037054521 + 2617406265600 = 1861461^2 + 1617840^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 6082443320121 - 23 = 6082443320113 is a prime.

It is a super-2 number, since 2×60824433201212 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6082443120121) 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, 466116805 + ... + 466129853.

Almost surely, 26082443320121 is an apocalyptic number.

6082443320121 is the 2466261-st square number.

6082443320121 is the 1233131-st centered octagonal number.

It is an amenable number.

6082443320121 is a deficient number, since it is larger than the sum of its proper divisors (4526759766630).

6082443320121 is an frugal number, since it uses more digits than its factorization.

6082443320121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26130 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 6082443320121 by its sum of digits (36), we get a square (218967959524356 = 147975662).

Adding to 6082443320121 its reverse (1210233442806), we get a palindrome (7292676762927).

The spelling of 6082443320121 in words is "six trillion, eighty-two billion, four hundred forty-three million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 11907 13049 35721 39147 91343 117441 274029 352323 639401 822087 1056969 1918203 2466261 3170907 5754609 7398783 9512721 17263827 22196349 51791481 66589047 155374443 170276401 466123329 510829203 1191934807 1532487609 3575804421 4597462827 8343543649 10727413263 13792388481 25030630947 32182239789 41377165443 75091892841 96546719367 124131496329 225275678523 289640158101 675827035569 868920474303 2027481106707 6082443320121