Search a number
-
+
11324416460 = 2257215437489
BaseRepresentation
bin10101000101111110…
…01110000111001100
31002020012212221221212
422202333032013030
5141143022311320
65111413313552
7550425644300
oct124277160714
932205787855
1011324416460
114891379775
1222406358b8
1310b61c3b56
14795ddbd00
154642c29c5
hex2a2fce1cc

11324416460 has 72 divisors (see below), whose sum is σ = 27685556640. Its totient is φ = 3879622656.

The previous prime is 11324416427. The next prime is 11324416463. The reversal of 11324416460 is 6461442311.

It is not an unprimeable number, because it can be changed into a prime (11324416463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508396 + ... + 1515884.

It is an arithmetic number, because the mean of its divisors is an integer number (384521620).

Almost surely, 211324416460 is an apocalyptic number.

11324416460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13842778320).

11324416460 is an abundant number, since it is smaller than the sum of its proper divisors (16361140180).

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

11324416460 is a wasteful number, since it uses less digits than its factorization.

11324416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 11324416460 its reverse (6461442311), we get a palindrome (17785858771).

The spelling of 11324416460 in words is "eleven billion, three hundred twenty-four million, four hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1543 3086 6172 7489 7715 10801 14978 15430 21602 29956 30860 37445 43204 52423 54005 74890 75607 104846 108010 149780 151214 209692 216020 262115 302428 366961 378035 524230 733922 756070 1048460 1467844 1512140 1834805 3669610 7339220 11555527 23111054 46222108 57777635 80888689 115555270 161777378 231110540 323554756 404443445 566220823 808886890 1132441646 1617773780 2264883292 2831104115 5662208230 11324416460