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281630814721 = 172192312532
BaseRepresentation
bin1000001100100101000…
…00010011001000000001
3222220221100001201201121
410012102200103020001
514103234442032341
6333213541432241
726230034266324
oct4062240231001
9886840051647
10281630814721
11a9491286543
12466b970b681
13207332887c9
14d8b96927bb
1574d4bcc4d1
hex4192813201

281630814721 has 81 divisors (see below), whose sum is σ = 332532385353. Its totient is φ = 238427953920.

The previous prime is 281630814697. The next prime is 281630814737. The reversal of 281630814721 is 127418036182.

The square root of 281630814721 is 530689.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70564078321 + 211066736400 = 265639^2 + 459420^2 .

It is not a de Polignac number, because 281630814721 - 227 = 281496596993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (281630814781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5313788931 + ... + 5313788983.

Almost surely, 2281630814721 is an apocalyptic number.

281630814721 is the 530689-th square number.

281630814721 is the 265345-th centered octagonal number.

It is an amenable number.

281630814721 is a deficient number, since it is larger than the sum of its proper divisors (50901570632).

281630814721 is an equidigital number, since it uses as much as digits as its factorization.

281630814721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 281630814721 in words is "two hundred eighty-one billion, six hundred thirty million, eight hundred fourteen thousand, seven hundred twenty-one".

Divisors: 1 17 19 31 53 289 323 361 527 589 901 961 1007 1643 2809 5491 6137 8959 10013 11191 15317 16337 17119 18259 19133 27931 31217 47753 50933 53371 87079 104329 170221 190247 277729 291023 310403 325261 346921 474827 530689 593123 811801 865861 907307 967727 1014049 1480343 1654501 2699449 3234199 5276851 5529437 5897657 9021713 10083091 14719637 15424219 16451359 17238833 18386813 25165831 28126517 31435519 45890633 51289531 100260169 171412547 279673103 293060161 312575821 478150789 534403823 780140761 871922027 974501089 5313788957 9084864991 14822674459 16566518513 281630814721