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9838000471 = 1341151251487
BaseRepresentation
bin10010010100110001…
…11111100101010111
3221101121221012112211
421022120333211113
5130122012003341
64304114254251
7465536424055
oct111230774527
927347835484
109838000471
114199327402
121aa6887387
13c0a279870
146948331d5
153c8a5d181
hex24a63f957

9838000471 has 32 divisors (see below), whose sum is σ = 10991102976. Its totient is φ = 8748000000.

The previous prime is 9838000457. The next prime is 9838000483. The reversal of 9838000471 is 1740008389.

It is a 8-Lehmer number, since φ(9838000471) divides (9838000471-1)8.

It is a cyclic number.

It is not a de Polignac number, because 9838000471 - 29 = 9837999959 is a prime.

It is a super-3 number, since 3×98380004713 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9838000441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20200990 + ... + 20201476.

It is an arithmetic number, because the mean of its divisors is an integer number (343471968).

Almost surely, 29838000471 is an apocalyptic number.

9838000471 is a deficient number, since it is larger than the sum of its proper divisors (1153102505).

9838000471 is a wasteful number, since it uses less digits than its factorization.

9838000471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 9838000471 is about 99186.6950301299. The cubic root of 9838000471 is about 2142.7373819953.

The spelling of 9838000471 in words is "nine billion, eight hundred thirty-eight million, four hundred seventy-one", and thus it is an aban number.

Divisors: 1 13 41 151 251 487 533 1963 3263 6191 6331 10291 19967 37901 73537 80483 122237 133783 259571 492713 955981 1553941 1589081 3015017 5011717 18457787 20201233 39195221 65152321 239951231 756769267 9838000471