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16881426432 = 213341319103
BaseRepresentation
bin11111011100011011…
…00010000000000000
31121120111101022120000
433232031202000000
5234033121121212
611431043320000
71135223520453
oct175615420000
947514338500
1016881426432
1171831415a2
123331680000
131790578830
14b6205549a
1568c0a41dc
hex3ee362000

16881426432 has 560 divisors, whose sum is σ = 57725828160. Its totient is φ = 4873125888.

The previous prime is 16881426427. The next prime is 16881426473. The reversal of 16881426432 is 23462418861.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163897293 + ... + 163897395.

It is an arithmetic number, because the mean of its divisors is an integer number (103081836).

Almost surely, 216881426432 is an apocalyptic number.

16881426432 is a gapful number since it is divisible by the number (12) 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 16881426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28862914080).

16881426432 is an abundant number, since it is smaller than the sum of its proper divisors (40844401728).

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

16881426432 is a wasteful number, since it uses less digits than its factorization.

16881426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 16881426432 in words is "sixteen billion, eight hundred eighty-one million, four hundred twenty-six thousand, four hundred thirty-two".