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16045969920 = 293541131389
BaseRepresentation
bin11101111000110101…
…00001001000000000
31112102021022201200020
432330122201020000
5230330232014140
611212120453440
71105430331261
oct167432411000
945367281606
1016045969920
116894593772
12313991a280
131689460176
14ac30da968
1563da766d0
hex3bc6a1200

16045969920 has 320 divisors, whose sum is σ = 53085352320. Its totient is φ = 4132044800.

The previous prime is 16045969909. The next prime is 16045969939. The reversal of 16045969920 is 2996954061.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 41249086 + ... + 41249474.

It is an arithmetic number, because the mean of its divisors is an integer number (165891726).

Almost surely, 216045969920 is an apocalyptic number.

16045969920 is a gapful number since it is divisible by the number (10) 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 16045969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542676160).

16045969920 is an abundant number, since it is smaller than the sum of its proper divisors (37039382400).

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

16045969920 is a wasteful number, since it uses less digits than its factorization.

16045969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 16045969920 in words is "sixteen billion, forty-five million, nine hundred sixty-nine thousand, nine hundred twenty".