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14553889920 = 2733531101269
BaseRepresentation
bin11011000110111101…
…01011110010000000
31101120021201012201000
431203132223302000
5214301243434140
610404100212000
71023442010643
oct154336536200
941507635630
1014553889920
1161993229a9
1229a209a000
1314ac2b1aab
149c0c99a5a
155a2a93a30
hex3637abc80

14553889920 has 512 divisors, whose sum is σ = 53934336000. Its totient is φ = 3704832000.

The previous prime is 14553889913. The next prime is 14553889921. The reversal of 14553889920 is 2998835541.

14553889920 is a `hidden beast` number, since 1 + 4 + 5 + 538 + 89 + 9 + 20 = 666.

14553889920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14553889921) 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 63 ways as a sum of consecutive naturals, for example, 54103546 + ... + 54103814.

It is an arithmetic number, because the mean of its divisors is an integer number (105340500).

Almost surely, 214553889920 is an apocalyptic number.

14553889920 is a gapful number since it is divisible by the number (10) 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 14553889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967168000).

14553889920 is an abundant number, since it is smaller than the sum of its proper divisors (39380446080).

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

14553889920 is a wasteful number, since it uses less digits than its factorization.

14553889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 14553889920 in words is "fourteen billion, five hundred fifty-three million, eight hundred eighty-nine thousand, nine hundred twenty".