Search a number
-
+
82243544534228 = 227211138247275929
BaseRepresentation
bin10010101100110011010001…
…010000011100110011010100
3101210012101222000201002110102
4102230303101100130303110
541234434234400043403
6450530055054113232
723215620463034300
oct2254632120346324
9353171860632412
1082243544534228
11242293228941a0
1292834247ab818
1336b76c0c27c2c
141644874764d00
15979523b29b88
hex4accd141ccd4

82243544534228 has 72 divisors (see below), whose sum is σ = 182646737824320. Its totient is φ = 32042591521920.

The previous prime is 82243544534153. The next prime is 82243544534243.

82243544534228 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297922568 + ... + 298198496.

It is an arithmetic number, because the mean of its divisors is an integer number (2536760247560).

Almost surely, 282243544534228 is an apocalyptic number.

It is an amenable number.

82243544534228 is an abundant number, since it is smaller than the sum of its proper divisors (100403193290092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82243544534228 is a wasteful number, since it uses less digits than its factorization.

82243544534228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414205 (or 414196 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 56.

The spelling of 82243544534228 in words is "eighty-two trillion, two hundred forty-three billion, five hundred forty-four million, five hundred thirty-four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 138247 275929 276494 551858 552988 967729 1103716 1520717 1931503 1935458 3035219 3041434 3863006 3870916 6070438 6082868 6774103 7726012 10645019 12140876 13520521 13548206 21246533 21290038 27041042 27096412 42493066 42580076 54082084 74515133 84986132 148725731 149030266 297451462 298060532 594902924 38146356463 76292712926 152585425852 267024495241 419609921093 534048990482 839219842186 1068097980964 1678439684372 1869171466687 2937269447651 3738342933374 5874538895302 7476685866748 11749077790604 20560886133557 41121772267114 82243544534228