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14056666832 = 24131274011327
BaseRepresentation
bin11010001011101011…
…11011011011010000
31100021122002122212002
431011311323123100
5212242001314312
610242455053132
71005223460645
oct150565733320
940248078762
1014056666832
115a6369292a
1228836711a8
13143028c950
14974c27dcc
155740c84c2
hex345d7b6d0

14056666832 has 80 divisors (see below), whose sum is σ = 29656768512. Its totient is φ = 6415718400.

The previous prime is 14056666831. The next prime is 14056666873. The reversal of 14056666832 is 23866665041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14056666831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10592153 + ... + 10593479.

Almost surely, 214056666832 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 14056666832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14828384256).

14056666832 is an abundant number, since it is smaller than the sum of its proper divisors (15600101680).

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

14056666832 is a wasteful number, since it uses less digits than its factorization.

14056666832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 14056666832 in words is "fourteen billion, fifty-six million, six hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 401 508 802 1016 1327 1604 1651 2032 2654 3208 3302 5213 5308 6416 6604 10426 10616 13208 17251 20852 21232 26416 34502 41704 50927 69004 83408 101854 138008 168529 203708 276016 337058 407416 532127 662051 674116 814832 1064254 1324102 1348232 2128508 2190877 2648204 2696464 4257016 4381754 5296408 6917651 8514032 8763508 10592816 13835302 17527016 27670604 35054032 55341208 67580129 110682416 135160258 270320516 540641032 878541677 1081282064 1757083354 3514166708 7028333416 14056666832