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16829803120 = 2451316182503
BaseRepresentation
bin11111010110010001…
…00110101001110000
31121102220020120200111
433223020212221300
5233431412144440
611422001031104
71134025652254
oct175310465160
947386216614
1016829803120
117156a921a9
123318325494
1317829725b0
14b59258264
156877a84ea
hex3eb226a70

16829803120 has 40 divisors (see below), whose sum is σ = 42139240416. Its totient is φ = 6214080768.

The previous prime is 16829803069. The next prime is 16829803139. The reversal of 16829803120 is 2130892861.

16829803120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 8090212 + ... + 8092291.

Almost surely, 216829803120 is an apocalyptic number.

16829803120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16829803120 is an abundant number, since it is smaller than the sum of its proper divisors (25309437296).

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

16829803120 is a wasteful number, since it uses less digits than its factorization.

16829803120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182529 (or 16182523 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 16829803120 in words is "sixteen billion, eight hundred twenty-nine million, eight hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 16182503 32365006 64730012 80912515 129460024 161825030 210372539 258920048 323650060 420745078 647300120 841490156 1051862695 1294600240 1682980312 2103725390 3365960624 4207450780 8414901560 16829803120