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19921435567 = 1117231320021
BaseRepresentation
bin10010100011011010…
…001111101110101111
31220102100200210002221
4102203122033232233
5311244341414232
613052441300211
71303446260035
oct224332175657
956370623087
1019921435567
1184a3149440
123a3b794667
131b5632aac7
14d6dab4555
157b8dec897
hex4a368fbaf

19921435567 has 24 divisors (see below), whose sum is σ = 23160969072. Its totient is φ = 16989772800.

The previous prime is 19921435507. The next prime is 19921435591. The reversal of 19921435567 is 76553412991.

It is a de Polignac number, because none of the positive numbers 2k-19921435567 is a prime.

It is a super-2 number, since 2×199214355672 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19921435507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985017 + ... + 1005037.

It is an arithmetic number, because the mean of its divisors is an integer number (965040378).

Almost surely, 219921435567 is an apocalyptic number.

19921435567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

19921435567 is a deficient number, since it is larger than the sum of its proper divisors (3239533505).

19921435567 is a wasteful number, since it uses less digits than its factorization.

19921435567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20362 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 52.

The spelling of 19921435567 in words is "nineteen billion, nine hundred twenty-one million, four hundred thirty-five thousand, five hundred sixty-seven".

Divisors: 1 11 17 187 289 313 3179 3443 5321 20021 58531 90457 220231 340357 995027 3743927 5786069 6266573 63646759 68932303 106531741 1171849151 1811039597 19921435567