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14783283768 = 23311895411163
BaseRepresentation
bin11011100010010011…
…10000001000111000
31102011021100121220110
431301021300020320
5220234010040033
610442533024320
71032225560451
oct156111601070
942137317813
1014783283768
1162a68619a0
122a46a850a0
13151798b1b6
14a03530128
155b7ca7363
hex371270238

14783283768 has 128 divisors (see below), whose sum is σ = 40881542400. Its totient is φ = 4417459200.

The previous prime is 14783283763. The next prime is 14783283769. The reversal of 14783283768 is 86738238741.

It is a happy number.

It is a super-5 number, since 5×147832837685 (a number of 52 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14783283761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12710755 + ... + 12711917.

It is an arithmetic number, because the mean of its divisors is an integer number (319387050).

Almost surely, 214783283768 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 14783283768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440771200).

14783283768 is an abundant number, since it is smaller than the sum of its proper divisors (26098258632).

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

14783283768 is a wasteful number, since it uses less digits than its factorization.

14783283768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 14783283768 in words is "fourteen billion, seven hundred eighty-three million, two hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 541 712 979 1068 1082 1163 1623 1958 2136 2164 2326 2937 3246 3489 3916 4328 4652 5874 5951 6492 6978 7832 9304 11748 11902 12793 12984 13956 17853 23496 23804 25586 27912 35706 38379 47608 48149 51172 71412 76758 96298 102344 103507 142824 144447 153516 192596 207014 288894 307032 310521 385192 414028 529639 577788 621042 629183 828056 1059278 1138577 1155576 1242084 1258366 1588917 1887549 2118556 2277154 2484168 2516732 3177834 3415731 3775098 4237112 4554308 5033464 6355668 6831462 6921013 7550196 9108616 12711336 13662924 13842026 15100392 20763039 27325848 27684052 41526078 55368104 55997287 83052156 111994574 166104312 167991861 223989148 335983722 447978296 615970157 671967444 1231940314 1343934888 1847910471 2463880628 3695820942 4927761256 7391641884 14783283768