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47634372009 = 32721925472
BaseRepresentation
bin101100010111001110…
…101101010110101001
311112221201110211002100
4230113032231112221
51240023344401014
633514413524013
73304265324100
oct542716552651
9145851424070
1047634372009
11192243a77a4
1292947a3609
13465192a053
14243c49b037
15138bd5d009
hexb173ad5a9

47634372009 has 81 divisors (see below), whose sum is σ = 84627695997. Its totient is φ = 25739885808.

The previous prime is 47634371969. The next prime is 47634372013. The reversal of 47634372009 is 90027343674.

The square root of 47634372009 is 218253.

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

47634372009 is a `hidden beast` number, since 4 + 7 + 6 + 3 + 437 + 200 + 9 = 666.

It is not a de Polignac number, because 47634372009 - 29 = 47634371497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47634372089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87082674 + ... + 87083220.

Almost surely, 247634372009 is an apocalyptic number.

47634372009 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

47634372009 is the 218253-rd square number.

47634372009 is the 109127-th centered octagonal number.

It is an amenable number.

47634372009 is a deficient number, since it is larger than the sum of its proper divisors (36993323988).

47634372009 is an equidigital number, since it uses as much as digits as its factorization.

47634372009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 47634372009 in words is "forty-seven billion, six hundred thirty-four million, three hundred seventy-two thousand, nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 361 399 441 547 931 1083 1197 1641 2527 2793 3249 3829 4923 7581 8379 10393 11487 17689 22743 26803 31179 34461 53067 72751 80409 93537 159201 197467 218253 241227 299209 509257 592401 654759 897627 1382269 1527771 1777203 2094463 2692881 4146807 4583313 5684971 6283389 9675883 12440421 14661241 17054913 18850167 29027649 39794797 43983723 51164739 87082947 108014449 119384391 131951169 278563579 324043347 358153173 756101143 835690737 972130041 2268303429 2507072211 5292708001 6804910287 15878124003 47634372009