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28483117225344 = 2732434717417027
BaseRepresentation
bin1100111100111101111100…
…00101011001010110000000
310201211221220102010210210100
412132132332011121112000
512213131411002202334
6140324544033002400
75666560124503245
oct636367605312600
9121757812123710
1028483117225344
119091693136241
1232402763b3400
1312b7c3c3c7572
147068398375cc
15345da06b0c99
hex19e7be159580

28483117225344 has 384 divisors, whose sum is σ = 85715102753280. Its totient is φ = 9069758853120.

The previous prime is 28483117225333. The next prime is 28483117225411. The reversal of 28483117225344 is 44352271138482.

28483117225344 is a `hidden beast` number, since 2 + 8 + 4 + 8 + 31 + 1 + 72 + 2 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×284831172253443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4053378759 + ... + 4053385785.

It is an arithmetic number, because the mean of its divisors is an integer number (223216413420).

Almost surely, 228483117225344 is an apocalyptic number.

28483117225344 is a gapful number since it is divisible by the number (24) 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 28483117225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42857551376640).

28483117225344 is an abundant number, since it is smaller than the sum of its proper divisors (57231985527936).

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

28483117225344 is a wasteful number, since it uses less digits than its factorization.

28483117225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8863 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 28483117225344 in words is "twenty-eight trillion, four hundred eighty-three billion, one hundred seventeen million, two hundred twenty-five thousand, three hundred forty-four".