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14866496896 = 272931129193
BaseRepresentation
bin11011101100001110…
…01011110110000000
31102101001221021212011
431312013023312000
5220421310400041
610455104342304
71034256065356
oct156607136600
942331837764
1014866496896
116339828179
122a6a914994
13152bca4c34
14a105d17d6
155c0242e81
hex3761cbd80

14866496896 has 64 divisors (see below), whose sum is σ = 31626691200. Its totient is φ = 6945361920.

The previous prime is 14866496893. The next prime is 14866496969. The reversal of 14866496896 is 69869466841.

14866496896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14866496893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50476 + ... + 179668.

It is an arithmetic number, because the mean of its divisors is an integer number (494167050).

Almost surely, 214866496896 is an apocalyptic number.

14866496896 is a gapful number since it is divisible by the number (16) 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 14866496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813345600).

14866496896 is an abundant number, since it is smaller than the sum of its proper divisors (16760194304).

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

14866496896 is a wasteful number, since it uses less digits than its factorization.

14866496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129267 (or 129255 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 67.

The spelling of 14866496896 in words is "fourteen billion, eight hundred sixty-six million, four hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 464 496 899 928 992 1798 1856 1984 3596 3712 3968 7192 14384 28768 57536 115072 129193 258386 516772 1033544 2067088 3746597 4004983 4134176 7493194 8009966 8268352 14986388 16019932 16536704 29972776 32039864 59945552 64079728 116144507 119891104 128159456 232289014 239782208 256318912 464578028 479564416 512637824 929156056 1858312112 3716624224 7433248448 14866496896