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989979230529 = 364328572
BaseRepresentation
bin11100110011111110101…
…11000100000101000001
310111122022100120121000000
432121333113010011001
5112204434140334104
62034442402350213
7131344415421462
oct16317727040501
93448270517000
10989979230529
11351936515533
1213ba4605b369
137247c1b8953
1435cb5638d69
151ab41b54639
hexe67f5c4141

989979230529 has 63 divisors (see below), whose sum is σ = 1521386213043. Its totient is φ = 643885435872.

The previous prime is 989979230521. The next prime is 989979230557. The reversal of 989979230529 is 925032979989.

The square root of 989979230529 is 994977.

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

989979230529 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 7 + 92 + 3 + 0 + 529 = 666.

989979230529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 917428730625 + 72550499904 = 957825^2 + 269352^2 .

It is not a de Polignac number, because 989979230529 - 23 = 989979230521 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (989979230521) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1155167869 + ... + 1155168725.

Almost surely, 2989979230529 is an apocalyptic number.

989979230529 is the 994977-th square number.

989979230529 is the 497489-th centered octagonal number.

It is an amenable number.

989979230529 is a deficient number, since it is larger than the sum of its proper divisors (531406982514).

989979230529 is an frugal number, since it uses more digits than its factorization.

989979230529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 989979230529 in words is "nine hundred eighty-nine billion, nine hundred seventy-nine million, two hundred thirty thousand, five hundred twenty-nine".

Divisors: 1 3 9 27 43 81 129 243 387 729 857 1161 1849 2571 3483 5547 7713 10449 16641 23139 31347 36851 49923 69417 110553 149769 208251 331659 449307 624753 734449 994977 1347921 1584593 2203347 2984931 4753779 6610041 8954793 14261337 19830123 26864379 31581307 42784011 59490369 94743921 128352033 178471107 284231763 385056099 535413321 852695289 1155168297 1357996201 2558085867 4073988603 7674257601 12221965809 23022772803 36665897427 109997692281 329993076843 989979230529