Search a number
-
+
11350352424 = 2334130737573
BaseRepresentation
bin10101001001000100…
…01010001000101000
31002022000200122102010
422210202022020220
5141221142234144
65114141235520
7551162255325
oct124442121050
932260618363
1011350352424
1148a4a83854
122249262ba0
1310bb6a5088
1479962db4c
154666e75b9
hex2a488a228

11350352424 has 64 divisors (see below), whose sum is σ = 29163435840. Its totient is φ = 3679050240.

The previous prime is 11350352407. The next prime is 11350352437. The reversal of 11350352424 is 42425305311.

It is a junction number, because it is equal to n+sod(n) for n = 11350352391 and 11350352400.

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 15 ways as a sum of consecutive naturals, for example, 283302 + ... + 320874.

It is an arithmetic number, because the mean of its divisors is an integer number (455678685).

Almost surely, 211350352424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11350352424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581717920).

11350352424 is an abundant number, since it is smaller than the sum of its proper divisors (17813083416).

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

11350352424 is a wasteful number, since it uses less digits than its factorization.

11350352424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37930 (or 37926 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11350352424 its reverse (42425305311), we get a palindrome (53775657735).

The spelling of 11350352424 in words is "eleven billion, three hundred fifty million, three hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 307 328 492 614 921 984 1228 1842 2456 3684 7368 12587 25174 37573 37761 50348 75146 75522 100696 112719 150292 151044 225438 300584 302088 450876 901752 1540493 3080986 4621479 6161972 9242958 11534911 12323944 18485916 23069822 34604733 36971832 46139644 69209466 92279288 138418932 276837864 472931351 945862702 1418794053 1891725404 2837588106 3783450808 5675176212 11350352424