Search a number
-
+
11885578441 = 114172532
BaseRepresentation
bin10110001000110111…
…11000100011001001
31010200022210221110221
423010123320203021
5143320202002231
65243221110041
7600351515122
oct130433704311
933608727427
1011885578441
11504a110000
122378558321
131175541a69
1480a755049
154986bcd11
hex2c46f88c9

11885578441 has 45 divisors (see below), whose sum is σ = 14155344805. Its totient is φ = 9977601920.

The previous prime is 11885578429. The next prime is 11885578447. The reversal of 11885578441 is 14487558811.

It is a happy number.

The square root of 11885578441 is 109021.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2977994041 + 8907584400 = 54571^2 + 94380^2 .

It is not a de Polignac number, because 11885578441 - 227 = 11751360713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11885578447) 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, 224256171 + ... + 224256223.

Almost surely, 211885578441 is an apocalyptic number.

11885578441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11885578441 is the 109021-st square number.

11885578441 is the 54511-st centered octagonal number.

It is an amenable number.

11885578441 is a deficient number, since it is larger than the sum of its proper divisors (2269766364).

11885578441 is an frugal number, since it uses more digits than its factorization.

11885578441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 81 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 52.

The spelling of 11885578441 in words is "eleven billion, eight hundred eighty-five million, five hundred seventy-eight thousand, four hundred forty-one".

Divisors: 1 11 17 53 121 187 289 583 901 1331 2057 2809 3179 6413 9911 14641 15317 22627 30899 34969 47753 70543 109021 168487 248897 339889 384659 525283 775973 811801 1199231 1853357 3738779 4231249 5778113 8929811 13191541 20386927 41126569 63559243 98227921 224256197 699151673 1080507131 11885578441