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99999980000001 = 34239246492
BaseRepresentation
bin10110101111001100001111…
…010010010001001100000001
3111010001220102112200102110000
4112233030033102101030001
5101101344424340000001
6552403205010030213
730030521504143224
oct2657141722211401
9433056375612400
1099999980000001
1129954831796954
12b2707bab78369
1343a4c5ac62823
141a9a04c2c75bb
15b86367b6da86
hex5af30f491301

99999980000001 has 45 divisors (see below), whose sum is σ = 150042607696531. Its totient is φ = 66373433362656.

The previous prime is 99999979999987. The next prime is 99999980000009. The reversal of 99999980000001 is 10000008999999.

The square root of 99999980000001 is 9999999.

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

It can be written as a sum of positive squares in only one way, i.e., 97860547217601 + 2139432782400 = 9892449^2 + 1462680^2 .

It is not a de Polignac number, because 99999980000001 - 27 = 99999979999873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99999980000009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21509995525 + ... + 21510000173.

Almost surely, 299999980000001 is an apocalyptic number.

99999980000001 is the 9999999-th square number.

99999980000001 is the 5000000-th centered octagonal number.

It is an amenable number.

99999980000001 is a deficient number, since it is larger than the sum of its proper divisors (50042627696530).

99999980000001 is an frugal number, since it uses more digits than its factorization.

99999980000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 63.

It can be divided in two parts, 999999 and 80000001, that added together give a square (81000000 = 90002).

The spelling of 99999980000001 in words is "ninety-nine trillion, nine hundred ninety-nine billion, nine hundred eighty million, one", and thus it is an aban number.

Divisors: 1 3 9 27 81 239 717 2151 4649 6453 13947 19359 41841 57121 125523 171363 376569 514089 1111111 1542267 3333333 4626801 9999999 21613201 29999997 64839603 89999991 194518809 265555529 583556427 796666587 1750669281 2389999761 5165555039 7169999283 15496665117 21509997849 46489995351 139469986053 418409958159 1234567654321 3703702962963 11111108888889 33333326666667 99999980000001