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11120006664 = 2332132913873
BaseRepresentation
bin10100101101100110…
…11101011000001000
31001200222020212102200
422112303131120020
5140233210203124
65035232200200
7542364332334
oct122663353010
931628225380
1011120006664
114796a54658
1221a4099060
131082a54600
14776bcc7c4
15451396bc9
hex296cdd608

11120006664 has 72 divisors (see below), whose sum is σ = 32611593690. Its totient is φ = 3421536768.

The previous prime is 11120006647. The next prime is 11120006669. The reversal of 11120006664 is 46660002111.

It can be written as a sum of positive squares in 3 ways, for example, as 8732902500 + 2387104164 = 93450^2 + 48858^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11120006669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 444769 + ... + 469104.

Almost surely, 211120006664 is an apocalyptic number.

It is an amenable number.

11120006664 is an abundant number, since it is smaller than the sum of its proper divisors (21491587026).

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

11120006664 is a wasteful number, since it uses less digits than its factorization.

11120006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913911 (or 913891 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11120006664 its reverse (46660002111), we get a palindrome (57780008775).

The spelling of 11120006664 in words is "eleven billion, one hundred twenty million, six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 913873 1827746 2741619 3655492 5483238 7310984 8224857 10966476 11880349 16449714 21932952 23760698 32899428 35641047 47521396 65798856 71282094 95042792 106923141 142564188 154444537 213846282 285128376 308889074 427692564 463333611 617778148 855385128 926667222 1235556296 1390000833 1853334444 2780001666 3706668888 5560003332 11120006664