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47031295689 = 32722324492
BaseRepresentation
bin101011110011010010…
…001001111011001001
311111101200200100220100
4223303102021323021
51232310002430224
633334511520013
73253323263100
oct536322117311
9144350610810
1047031295689
1118a44a38614
129146829009
1345869c5161
1423c2353037
151353e33ac9
hexaf3489ec9

47031295689 has 81 divisors (see below), whose sum is σ = 82795044423. Its totient is φ = 25649293824.

The previous prime is 47031295681. The next prime is 47031295733. The reversal of 47031295689 is 98659213074.

The square root of 47031295689 is 216867.

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

47031295689 is a `hidden beast` number, since 4 + 70 + 3 + 1 + 2 + 9 + 568 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28741438089 + 18289857600 = 169533^2 + 135240^2 .

It is not a de Polignac number, because 47031295689 - 23 = 47031295681 is a prime.

It is a super-2 number, since 2×470312956892 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47031295681) 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 80 ways as a sum of consecutive naturals, for example, 104746537 + ... + 104746985.

It is a 2-persistent number, because it is pandigital, and so is 2⋅47031295689 = 94062591378, but 3⋅47031295689 = 141093887067 is not.

Almost surely, 247031295689 is an apocalyptic number.

47031295689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

47031295689 is the 216867-th square number.

47031295689 is the 108434-th centered octagonal number.

It is an amenable number.

47031295689 is a deficient number, since it is larger than the sum of its proper divisors (35763748734).

47031295689 is an equidigital number, since it uses as much as digits as its factorization.

47031295689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 47031295689 in words is "forty-seven billion, thirty-one million, two hundred ninety-five thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 449 483 529 1127 1347 1449 1587 3143 3381 3703 4041 4761 9429 10143 10327 11109 22001 25921 28287 30981 33327 66003 72289 77763 92943 198009 201601 216867 233289 237521 506023 604803 650601 712563 1411207 1518069 1662647 1814409 2137689 4233621 4554207 4636823 4987941 9878449 11638529 12700863 13910469 14963823 29635347 32457761 34915587 41731407 88906041 97373283 104746761 106646929 227204327 292119849 319940787 681612981 746528503 959822361 2044838943 2239585509 5225699521 6718756527 15677098563 47031295689