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84424360722529 = 292101231372
BaseRepresentation
bin10011001100100010010100…
…000010000000000001100001
3102001220220000212010000112111
4103030202110002000001201
542031202042321110104
6455320003233355321
723532313234551232
oct2314422402000141
9361826025100474
1084424360722529
112499a196764543
12957600b708b41
13381524c233ba9
1416bc237591089
159b6110cd4404
hex4cc894080061

84424360722529 has 27 divisors (see below), whose sum is σ = 88338364998091. Its totient is φ = 80680387558400.

The previous prime is 84424360722523. The next prime is 84424360722547. The reversal of 84424360722529 is 92522706342448.

The square root of 84424360722529 is 9188273.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24948676368225 + 59475684354304 = 4994865^2 + 7712048^2 .

It is not a de Polignac number, because 84424360722529 - 23 = 84424360722521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84424360722521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26912450049 + ... + 26912453185.

Almost surely, 284424360722529 is an apocalyptic number.

84424360722529 is the 9188273-rd square number.

84424360722529 is the 4594137-th centered octagonal number.

It is an amenable number.

84424360722529 is a deficient number, since it is larger than the sum of its proper divisors (3914004275562).

84424360722529 is an frugal number, since it uses more digits than its factorization.

84424360722529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 84424360722529 in words is "eighty-four trillion, four hundred twenty-four billion, three hundred sixty million, seven hundred twenty-two thousand, five hundred twenty-nine".

Divisors: 1 29 101 841 2929 3137 10201 84941 90973 295829 316837 2638217 8579041 9188273 9840769 32000537 266459917 285382301 928015573 993917669 8276086729 26912451617 28823612401 100385684569 835884759629 2911184852501 84424360722529