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9533533120164 = 2232172302712
BaseRepresentation
bin1000101010111011001011…
…0110101110011010100100
31020202101201022111112200100
42022232302312232122210
52222144133434321124
632135351124544100
72002526560315434
oct212566266563244
936671638445610
109533533120164
11304616a9a9079
12109b7b4b52030
135420153673b1
1424d5d56942c4
15117ec81d91c9
hex8abb2dae6a4

9533533120164 has 81 divisors (see below), whose sum is σ = 25600453050081. Its totient is φ = 2990813546880.

The previous prime is 9533533120141. The next prime is 9533533120213. The reversal of 9533533120164 is 4610213353359.

The square root of 9533533120164 is 3087642.

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

9533533120164 is a `hidden beast` number, since 9 + 5 + 3 + 353 + 31 + 201 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7422300872100 + 2111232248064 = 2724390^2 + 1453008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 314924349 + ... + 314954619.

Almost surely, 29533533120164 is an apocalyptic number.

9533533120164 is the 3087642-nd square number.

It is an amenable number.

9533533120164 is an abundant number, since it is smaller than the sum of its proper divisors (16066919929917).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9533533120164 is an equidigital number, since it uses as much as digits as its factorization.

9533533120164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60586 (or 30293 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 9533533120164 in words is "nine trillion, five hundred thirty-three billion, five hundred thirty-three million, one hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 30271 60542 90813 121084 181626 272439 363252 514607 544878 1029214 1089756 1543821 2058428 3087642 4631463 6175284 8748319 9262926 17496638 18525852 26244957 34993276 52489914 78734871 104979828 157469742 314939484 916333441 1832666882 2749000323 3665333764 5498000646 8247000969 10996001292 15577668497 16494001938 31155336994 32988003876 46733005491 62310673988 93466010982 140199016473 186932021964 264820364449 280398032946 529640728898 560796065892 794461093347 1059281457796 1588922186694 2383383280041 3177844373388 4766766560082 9533533120164