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16731234344 = 23113972167
BaseRepresentation
bin11111001010100001…
…00110000000101000
31121012000202202202002
433211100212000220
5233231143444334
611404120230132
71131421100606
oct174520460050
947160682662
1016731234344
117106389000
1232ab30b348
131768410386
14b4a11a876
1567dcd7b7e
hex3e5426028

16731234344 has 96 divisors (see below), whose sum is σ = 35073984960. Its totient is φ = 7481633280.

The previous prime is 16731234341. The next prime is 16731234361. The reversal of 16731234344 is 44343213761.

It is a super-2 number, since 2×167312343442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16731234298 and 16731234307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16731234341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100186949 + ... + 100187115.

It is an arithmetic number, because the mean of its divisors is an integer number (365354010).

Almost surely, 216731234344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16731234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536992480).

16731234344 is an abundant number, since it is smaller than the sum of its proper divisors (18342750616).

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

16731234344 is an equidigital number, since it uses as much as digits as its factorization.

16731234344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 277 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The spelling of 16731234344 in words is "sixteen billion, seven hundred thirty-one million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 97 121 167 194 242 334 388 484 668 776 968 1067 1331 1336 1837 2134 2662 3674 4268 5324 7348 8536 9409 10648 11737 14696 16199 18818 20207 23474 32398 37636 40414 46948 64796 75272 80828 93896 103499 129107 129592 161656 178189 206998 222277 258214 356378 413996 444554 516428 712756 827992 889108 1032856 1138489 1425512 1571303 1778216 1960079 2276978 3142606 3920158 4553956 6285212 7840316 9107912 12523379 12570424 15680632 17284333 21560869 25046758 34568666 43121738 50093516 69137332 86243476 100187032 138274664 172486952 190127663 380255326 760510652 1521021304 2091404293 4182808586 8365617172 16731234344