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12443240798208 = 211351119119633
BaseRepresentation
bin1011010100010010101011…
…1100101001100000000000
31122001120011211211121200000
42311010222330221200000
53112332224121020313
642244202414400000
72422665051435423
oct265045274514000
948046154747600
1012443240798208
113a68170043970
12148b700200000
136c3514634c4c
143103829179ba
15168a25aac673
hexb512af29800

12443240798208 has 576 divisors, whose sum is σ = 42797771452800. Its totient is φ = 3572192378880.

The previous prime is 12443240798179. The next prime is 12443240798213. The reversal of 12443240798208 is 80289704234421.

12443240798208 is a `hidden beast` number, since 1 + 2 + 44 + 324 + 0 + 79 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×124432407982082 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 103951960 + ... + 104071592.

It is an arithmetic number, because the mean of its divisors is an integer number (74301686550).

Almost surely, 212443240798208 is an apocalyptic number.

12443240798208 is a gapful number since it is divisible by the number (18) 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 12443240798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398885726400).

12443240798208 is an abundant number, since it is smaller than the sum of its proper divisors (30354530654592).

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

12443240798208 is a wasteful number, since it uses less digits than its factorization.

12443240798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119700 (or 119668 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 12443240798208 in words is "twelve trillion, four hundred forty-three billion, two hundred forty million, seven hundred ninety-eight thousand, two hundred eight".