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20444013675 = 3252113804091
BaseRepresentation
bin10011000010100011…
…101110010001101011
31221202210000111111200
4103002203232101223
5313332131414200
613220350055243
71322423151261
oct230243562153
957683014450
1020444013675
118741127078
123b667aa523
131c0a689917
14dbd266431
157e9c25800
hex4c28ee46b

20444013675 has 36 divisors (see below), whose sum is σ = 36941594664. Its totient is φ = 10806969600.

The previous prime is 20444013637. The next prime is 20444013727. The reversal of 20444013675 is 57631044402.

20444013675 is a `hidden beast` number, since 204 + 440 + 1 + 3 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 20444013675 - 28 = 20444013419 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 376621 + ... + 427470.

Almost surely, 220444013675 is an apocalyptic number.

20444013675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20444013675 is a deficient number, since it is larger than the sum of its proper divisors (16497580989).

20444013675 is a wasteful number, since it uses less digits than its factorization.

20444013675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804220 (or 804212 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20444013675 in words is "twenty billion, four hundred forty-four million, thirteen thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 113 225 339 565 1017 1695 2825 5085 8475 25425 804091 2412273 4020455 7236819 12061365 20102275 36184095 60306825 90862283 180920475 272586849 454311415 817760547 1362934245 2271557075 4088802735 6814671225 20444013675