Search a number
-
+
11524141312 = 28478111181
BaseRepresentation
bin10101011101110010…
…00111000100000000
31002202010201000221121
422232321013010000
5142100140010222
65143310202024
7555402404425
oct125671070400
932663630847
1011524141312
114984093a32
1222974b3314
1311186b2b38
147b474bd4c
15476ac55c7
hex2aee47100

11524141312 has 72 divisors (see below), whose sum is σ = 23541581952. Its totient is φ = 5627750400.

The previous prime is 11524141267. The next prime is 11524141313. The reversal of 11524141312 is 21314142511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11524141313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9757362 + ... + 9758542.

It is an arithmetic number, because the mean of its divisors is an integer number (326966416).

Almost surely, 211524141312 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 11524141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770790976).

11524141312 is an abundant number, since it is smaller than the sum of its proper divisors (12017440640).

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

11524141312 is an equidigital number, since it uses as much as digits as its factorization.

11524141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2041 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

Adding to 11524141312 its reverse (21314142511), we get a palindrome (32838283823).

The spelling of 11524141312 in words is "eleven billion, five hundred twenty-four million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 811 1181 1504 1622 2362 3008 3244 4724 6016 6488 9448 12032 12976 18896 25952 37792 38117 51904 55507 75584 76234 103808 111014 151168 152468 207616 222028 302336 304936 444056 609872 888112 957791 1219744 1776224 1915582 2439488 3552448 3831164 4878976 7104896 7662328 9757952 14209792 15324656 30649312 45016177 61298624 90032354 122597248 180064708 245194496 360129416 720258832 1440517664 2881035328 5762070656 11524141312