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8282532887721 = 34131224412
BaseRepresentation
bin111100010000110110101…
…1011100011110010101001
31002022210122221212012010000
41320201231123203302221
52041200111404401341
625340535412213213
71513251612640161
oct170415533436251
932283587765100
108282532887721
112703669987554
12b1926360a209
13481068a20a71
14208c3ba6b5a1
15e56aae2d8b6
hex7886d6e3ca9

8282532887721 has 45 divisors (see below), whose sum is σ = 12472951214119. Its totient is φ = 5477293504800.

The previous prime is 8282532887677. The next prime is 8282532887731. The reversal of 8282532887721 is 1277882352828.

The square root of 8282532887721 is 2877939.

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

8282532887721 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 532 + 8 + 8 + 77 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 800776209321 + 7481756678400 = 894861^2 + 2735280^2 .

It is not a de Polignac number, because 8282532887721 - 235 = 8248173149353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8282532887731) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 3393088861 + ... + 3393091301.

Almost surely, 28282532887721 is an apocalyptic number.

8282532887721 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8282532887721 is the 2877939-th square number.

8282532887721 is the 1438970-th centered octagonal number.

It is an amenable number.

8282532887721 is a deficient number, since it is larger than the sum of its proper divisors (4190418326398).

8282532887721 is an frugal number, since it uses more digits than its factorization.

8282532887721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 2575 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 8282532887721 in words is "eight trillion, two hundred eighty-two billion, five hundred thirty-two million, eight hundred eighty-seven thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 81 131 393 1179 2441 3537 7323 10611 17161 21969 51483 65907 154449 197721 319771 463347 959313 1390041 2877939 5958481 8633817 17875443 25901451 41890001 53626329 125670003 160878987 377010009 482636961 780561011 1131030027 2341683033 3393090081 7025049099 21075147297 63225441891 102253492441 306760477323 920281431969 2760844295907 8282532887721