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4138313868 = 2233132947517
BaseRepresentation
bin1111011010101001…
…1010100010001100
3101200101222010102000
43312222122202030
531433402020433
61522350232300
7204360042003
oct36652324214
911611863360
104138313868
111833a74507
12975ab5690
1350c48b440
142b3879c3a
15193497113
hexf6a9a88c

4138313868 has 48 divisors (see below), whose sum is σ = 11554270560. Its totient is φ = 1273326912.

The previous prime is 4138313843. The next prime is 4138313897. The reversal of 4138313868 is 8683138314.

4138313868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41383138682 = 34251283340162242848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472355 + ... + 1475162.

It is an arithmetic number, because the mean of its divisors is an integer number (240713970).

Almost surely, 24138313868 is an apocalyptic number.

It is an amenable number.

4138313868 is an abundant number, since it is smaller than the sum of its proper divisors (7415956692).

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

4138313868 is a wasteful number, since it uses less digits than its factorization.

4138313868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947543 (or 2947535 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4138313868 is about 64329.7277158858. The cubic root of 4138313868 is about 1605.4907539381.

The spelling of 4138313868 in words is "four billion, one hundred thirty-eight million, three hundred thirteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2947517 5895034 8842551 11790068 17685102 26527653 35370204 38317721 53055306 76635442 79582959 106110612 114953163 153270884 159165918 229906326 318331836 344859489 459812652 689718978 1034578467 1379437956 2069156934 4138313868