Search a number
-
+
11145842208 = 253262212
BaseRepresentation
bin10100110000101100…
…00000111000100000
31001202202212110010200
422120112000320200
5140311313422313
65041554025200
7543130044534
oct123026007040
931682773120
1011145842208
1147aa5a0246
1221b0878200
1310881cbc07
1477a3d5bc4
1545379bb73
hex298580e20

11145842208 has 54 divisors (see below), whose sum is σ = 31701084597. Its totient is φ = 3714683520.

The previous prime is 11145842189. The next prime is 11145842221. The reversal of 11145842208 is 80224854111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7717973904 + 3427868304 = 87852^2 + 58548^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1788538 + ... + 1794758.

Almost surely, 211145842208 is an apocalyptic number.

11145842208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11145842208 is an abundant number, since it is smaller than the sum of its proper divisors (20555242389).

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

11145842208 is an frugal number, since it uses more digits than its factorization.

11145842208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 11145842208 in words is "eleven billion, one hundred forty-five million, eight hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6221 12442 18663 24884 37326 49768 55989 74652 99536 111978 149304 199072 223956 298608 447912 597216 895824 1791648 38700841 77401682 116102523 154803364 232205046 309606728 348307569 464410092 619213456 696615138 928820184 1238426912 1393230276 1857640368 2786460552 3715280736 5572921104 11145842208