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989901109989 = 3211261101147541
BaseRepresentation
bin11100110011110101011…
…01000011101011100101
310111122002220120122202200
432121322231003223211
5112204304141004424
62034430532125113
7131342446414011
oct16317255035345
93448086518680
10989901109989
113518a6408400
1213ba23a66799
1372468c65b8c
1435ca9101541
151ab39d728c9
hexe67ab43ae5

989901109989 has 72 divisors (see below), whose sum is σ = 1613253146232. Its totient is φ = 584258400000.

The previous prime is 989901109973. The next prime is 989901109991.

989901109989 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6531387489 + 983369722500 = 80817^2 + 991650^2 .

It is not a de Polignac number, because 989901109989 - 24 = 989901109973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989901109789) 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 71 ways as a sum of consecutive naturals, for example, 6635559 + ... + 6783099.

Almost surely, 2989901109989 is an apocalyptic number.

989901109989 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

989901109989 is a deficient number, since it is larger than the sum of its proper divisors (623352036243).

989901109989 is a wasteful number, since it uses less digits than its factorization.

989901109989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147731 (or 147717 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 72.

It can be divided in two parts, 98990110 and 9989, that added together give a palindrome (99000099).

The spelling of 989901109989 in words is "nine hundred eighty-nine billion, nine hundred one million, one hundred nine thousand, nine hundred eighty-nine".

Divisors: 1 3 9 11 33 61 99 101 121 183 303 363 549 671 909 1089 1111 2013 3333 6039 6161 7381 9999 12221 18483 22143 36663 55449 66429 67771 109989 147541 203313 442623 609939 745481 1327869 1622951 2236443 4868853 6709329 9000001 14606559 14901641 17852461 27000003 44704923 53557383 81000009 99000011 134114769 160672149 163918051 297000033 491754153 891000099 909000101 1089000121 1475262459 1803098561 2727000303 3267000363 5409295683 8181000909 9801001089 9999001111 16227887049 29997003333 89991009999 109989012221 329967036663 989901109989