Search a number
-
+
28022338593769 = 13217414092
BaseRepresentation
bin1100101111100011101011…
…00010011010001111101001
310200012220112221212001022211
412113301311202122033221
512133104222140000034
6135333141251445121
75621355446656522
oct627616542321751
9120186487761284
1028022338593769
118a24230660413
123186b005b67a1
131283658c1b400
146cc407619849
15338dd300dd64
hex197c7589a3e9

28022338593769 has 45 divisors (see below), whose sum is σ = 32263073123673. Its totient is φ = 24327920787456.

The previous prime is 28022338593761. The next prime is 28022338593773. The reversal of 28022338593769 is 96739583322082.

The square root of 28022338593769 is 5293613.

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

It can be written as a sum of positive squares in 22 ways, for example, as 22228631825625 + 5793706768144 = 4714725^2 + 2407012^2 .

It is not a de Polignac number, because 28022338593769 - 23 = 28022338593761 is a prime.

It is a super-2 number, since 2×280223385937692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28022338593761) 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, 19888103337 + ... + 19888104745.

Almost surely, 228022338593769 is an apocalyptic number.

28022338593769 is the 5293613-rd square number.

28022338593769 is the 2646807-th centered octagonal number.

It is an amenable number.

28022338593769 is a deficient number, since it is larger than the sum of its proper divisors (4240734529904).

28022338593769 is an frugal number, since it uses more digits than its factorization.

28022338593769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 67.

The spelling of 28022338593769 in words is "twenty-eight trillion, twenty-two billion, three hundred thirty-eight million, five hundred ninety-three thousand, seven hundred sixty-nine".

Divisors: 1 13 17 169 221 289 1409 2873 3757 4913 18317 23953 48841 63869 83521 238121 311389 407201 830297 1085773 1985281 4048057 5293613 6922417 14115049 25808653 33749777 68816969 89991421 117681089 335512489 438747101 573746209 1169888473 1529854157 5703712313 7458700717 9753685553 19888104041 96963109321 126797912189 165812654401 1648372858457 2155564507213 28022338593769