Search a number
-
+
4528205693856 = 2532132574706057
BaseRepresentation
bin100000111100100111000…
…0101111000001110100000
3121000220002102220010020200
41001321032011320032200
51043142231124200411
613344121243105200
7645103105220205
oct101711605701640
917026072803220
104528205693856
111496446078359
1261171ab12200
1326b014663090
14119248577cac
157cbc7e35e56
hex41e4e1783a0

4528205693856 has 144 divisors (see below), whose sum is σ = 13921592545224. Its totient is φ = 1387872387072.

The previous prime is 4528205693819. The next prime is 4528205693863. The reversal of 4528205693856 is 6583965028254.

4528205693856 is a `hidden beast` number, since 4 + 528 + 2 + 0 + 56 + 9 + 3 + 8 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2973845066256 + 1554360627600 = 1724484^2 + 1246740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45282056938562 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4528205693793 and 4528205693802.

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, 1390821 + ... + 3315236.

Almost surely, 24528205693856 is an apocalyptic number.

It is an amenable number.

4528205693856 is an abundant number, since it is smaller than the sum of its proper divisors (9393386851368).

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

4528205693856 is a wasteful number, since it uses less digits than its factorization.

4528205693856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706343 (or 4706332 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 4528205693856 in words is "four trillion, five hundred twenty-eight billion, two hundred five million, six hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 257 288 312 416 468 514 624 771 936 1028 1248 1542 1872 2056 2313 3084 3341 3744 4112 4626 6168 6682 8224 9252 10023 12336 13364 18504 20046 24672 26728 30069 37008 40092 53456 60138 74016 80184 106912 120276 160368 240552 320736 481104 962208 4706057 9412114 14118171 18824228 28236342 37648456 42354513 56472684 61178741 75296912 84709026 112945368 122357482 150593824 169418052 183536223 225890736 244714964 338836104 367072446 451781472 489429928 550608669 677672208 734144892 978859856 1101217338 1209456649 1355344416 1468289784 1957719712 2202434676 2418913298 2936579568 3628369947 4404869352 4837826596 5873159136 7256739894 8809738704 9675653192 10885109841 14513479788 15722936437 17619477408 19351306384 21770219682 29026959576 31445872874 38702612768 43540439364 47168809311 58053919152 62891745748 87080878728 94337618622 116107838304 125783491496 141506427933 174161757456 188675237244 251566982992 283012855866 348323514912 377350474488 503133965984 566025711732 754700948976 1132051423464 1509401897952 2264102846928 4528205693856