Search a number
-
+
90878336858169 = 3272372122692
BaseRepresentation
bin10100101010011101000010…
…111111000111100000111001
3102220202212212112211201202100
4110222131002333013200321
543402422313213430134
6521140533120454013
725066512622550400
oct2452350277074071
9386685775751670
1090878336858169
1126a58316a65953
12a2389b717a309
133b92a37659103
14186276bd74637
15a78e4a119999
hex52a742fc7839

90878336858169 has 81 divisors (see below), whose sum is σ = 156951704852397. Its totient is φ = 50522833505088.

The previous prime is 90878336858123. The next prime is 90878336858327. The reversal of 90878336858169 is 96185863387809.

The square root of 90878336858169 is 9533013.

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

90878336858169 is a `hidden beast` number, since 9 + 0 + 8 + 78 + 336 + 8 + 58 + 169 = 666.

90878336858169 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64779398559225 + 26098938298944 = 8048565^2 + 5108712^2 .

It is not a de Polignac number, because 90878336858169 - 211 = 90878336856121 is a prime.

It is a super-2 number, since 2×908783368581692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90878336858669) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7407144967 + ... + 7407157235.

Almost surely, 290878336858169 is an apocalyptic number.

90878336858169 is the 9533013-rd square number.

90878336858169 is the 4766507-th centered octagonal number.

It is an amenable number.

90878336858169 is a deficient number, since it is larger than the sum of its proper divisors (66073367994228).

90878336858169 is an frugal number, since it uses more digits than its factorization.

90878336858169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24632 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 90878336858169 in words is "ninety trillion, eight hundred seventy-eight billion, three hundred thirty-six million, eight hundred fifty-eight thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1369 1813 2331 4107 5439 9583 12269 12321 16317 28749 36807 67081 85883 86247 110421 201243 257649 453953 601181 603729 772947 1361859 1803543 3177671 4085577 5410629 9533013 16796261 22243697 28599039 50388783 66731091 117573827 150528361 151166349 200193273 352721481 451585083 823016789 1053698527 1058164443 1354755249 2469050367 3161095581 5569549357 7375889689 7407151101 9483286743 16708648071 22127669067 38986845499 50125944213 66383007201 116960536497 206073326209 272907918493 350881609491 618219978627 818723755479 1442513283463 1854659935881 2456171266437 4327539850389 10097592984241 12982619551167 30292778952723 90878336858169