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16108832443561 = 1121341721272
BaseRepresentation
bin1110101001101010000100…
…1111000100110010101001
32010000222201020012202202121
43222122201033010302221
54102411342101143221
654132143453031241
73251552612354344
oct352324117046251
963028636182677
1016108832443561
115150798a5a100
121981bbb485521
138cb096b40000
143d995901945b
151ce063745a41
hexea6a13c4ca9

16108832443561 has 135 divisors (see below), whose sum is σ = 20538312992547. Its totient is φ = 12622551701760.

The previous prime is 16108832443553. The next prime is 16108832443597. The reversal of 16108832443561 is 16534423880161.

The square root of 16108832443561 is 4013581.

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

It can be written as a sum of positive squares in 7 ways, for example, as 14705422605225 + 1403409838336 = 3834765^2 + 1184656^2 .

It is not a de Polignac number, because 16108832443561 - 23 = 16108832443553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16108832443499 and 16108832443508.

It is not an unprimeable number, because it can be changed into a prime (16108832441561) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 126841200280 + ... + 126841200406.

Almost surely, 216108832443561 is an apocalyptic number.

16108832443561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16108832443561 is the 4013581-st square number.

16108832443561 is the 2006791-st centered octagonal number.

It is an amenable number.

16108832443561 is a deficient number, since it is larger than the sum of its proper divisors (4429480548986).

16108832443561 is an frugal number, since it uses more digits than its factorization.

16108832443561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 16108832443561 in words is "sixteen trillion, one hundred eight billion, eight hundred thirty-two million, four hundred forty-three thousand, five hundred sixty-one".

Divisors: 1 11 13 17 121 127 143 169 187 221 289 1397 1573 1651 1859 2057 2159 2197 2431 2873 3179 3757 15367 16129 18161 20449 21463 23749 24167 26741 28067 28561 31603 34969 36703 37349 41327 48841 177419 199771 209677 236093 261239 265837 274193 279019 308737 314171 347633 364871 403733 410839 454597 477139 485537 537251 634933 1951609 2306447 2597023 2725801 3016123 3069209 3396107 3455881 3564509 3627247 4013581 4441063 4519229 4661281 4743323 5248529 5340907 5909761 6202807 6984263 8254129 25370917 29983811 33177353 33761299 35435413 39209599 39899717 44149391 46338617 51274091 52176553 57733819 58749977 60596653 61663199 68230877 76826893 80636491 90795419 329821921 389789543 431305589 438896887 460660369 509724787 564015001 573942083 602402021 666563183 678295189 750539647 787756489 887001401 998749609 1048274383 4287684973 5067264059 5606972657 6626422231 7332195013 7461247079 7831226273 8665321379 9757015411 10240834357 11531018213 55739904649 72890644541 86143489003 95318535169 112649177927 126841200343 133130846641 947578379033 1239140957197 1464439313051 16108832443561