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11543032144 = 247437332833
BaseRepresentation
bin10101100000000010…
…01011000101010000
31002210110020210022001
422300001023011100
5142120004012034
65145223123344
7556022103640
oct126001130520
932713223261
1011543032144
114993816996
1222a18a3554
13111c598447
147b7068520
154785a7a14
hex2b004b150

11543032144 has 80 divisors (see below), whose sum is σ = 26513060992. Its totient is φ = 4765630464.

The previous prime is 11543032091. The next prime is 11543032153. The reversal of 11543032144 is 44123034511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 335152 + ... + 367984.

Almost surely, 211543032144 is an apocalyptic number.

11543032144 is a gapful number since it is divisible by the number (14) 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 11543032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256530496).

11543032144 is an abundant number, since it is smaller than the sum of its proper divisors (14970028848).

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

11543032144 is a wasteful number, since it uses less digits than its factorization.

11543032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32964 (or 32958 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 11543032144 its reverse (44123034511), we get a palindrome (55666066655).

It can be divided in two parts, 11543032 and 144, that added together give a cube (11543176 = 2263).

The spelling of 11543032144 in words is "eleven billion, five hundred forty-three million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 73 86 112 146 172 292 301 344 511 584 602 688 1022 1168 1204 2044 2408 3139 4088 4816 6278 8176 12556 21973 25112 32833 43946 50224 65666 87892 131332 175784 229831 262664 351568 459662 525328 919324 1411819 1838648 2396809 2823638 3677296 4793618 5647276 9587236 9882733 11294552 16777663 19174472 19765466 22589104 33555326 38348944 39530932 67110652 79061864 103062787 134221304 158123728 206125574 268442608 412251148 721439509 824502296 1442879018 1649004592 2885758036 5771516072 11543032144