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9800000000089 = 1321931021294277
BaseRepresentation
bin1000111010011011110110…
…0001001101000001011001
31021200212111211221120110021
42032212331201031001121
52241030400000000324
632502020254550441
72031012064400455
oct216467541150131
937625454846407
109800000000089
11313917a5729a2
121123380208421
1356119cb39400
1425c47304b665
1511edc19bdae4
hex8e9bd84d059

9800000000089 has 24 divisors (see below), whose sum is σ = 10677301622232. Its totient is φ = 8990437847040.

The previous prime is 9800000000083. The next prime is 9800000000101.

9800000000089 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 6438398760000 + 3361601240089 = 2537400^2 + 1833467^2 .

It is not a de Polignac number, because 9800000000089 - 225 = 9799966445657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9799999999982 and 9800000000063.

It is not an unprimeable number, because it can be changed into a prime (9800000000083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33154819 + ... + 33449095.

It is an arithmetic number, because the mean of its divisors is an integer number (444887567593).

Almost surely, 29800000000089 is an apocalyptic number.

It is an amenable number.

9800000000089 is a deficient number, since it is larger than the sum of its proper divisors (877301622143).

9800000000089 is a wasteful number, since it uses less digits than its factorization.

9800000000089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295517 (or 295504 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

It can be divided in two parts, 98000000000 and 89, that added together give a palindrome (98000000089).

The spelling of 9800000000089 in words is "nine trillion, eight hundred billion, eighty-nine", and thus it is an aban number.

Divisors: 1 13 169 193 1021 2509 13273 32617 172549 197053 294277 2561689 3825601 33301957 49732813 56795461 300456817 738340993 3905938621 9598432909 50777202073 57988165681 753846153853 9800000000089