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163728020020 = 22517347320237
BaseRepresentation
bin1001100001111011110…
…0110101001000110100
3120122121111011012001111
42120132330311020310
510140303333120040
6203114323404404
714554222131145
oct2303674651064
9518544135044
10163728020020
1163489220844
1227894223704
1312593721226
147cd2aa9acc
1543d3ddadea
hex261ef35234

163728020020 has 24 divisors (see below), whose sum is σ = 345816299304. Its totient is φ = 65112644736.

The previous prime is 163728019963. The next prime is 163728020077. The reversal of 163728020020 is 20020827361.

163728020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163728019963) and next prime (163728020077).

It can be written as a sum of positive squares in 4 ways, for example, as 80503847824 + 83224172196 = 283732^2 + 288486^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23656659 + ... + 23663578.

It is an arithmetic number, because the mean of its divisors is an integer number (14409012471).

Almost surely, 2163728020020 is an apocalyptic number.

163728020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163728020020 is an abundant number, since it is smaller than the sum of its proper divisors (182088279284).

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

163728020020 is a wasteful number, since it uses less digits than its factorization.

163728020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47320419 (or 47320417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 163728020020 its reverse (20020827361), we get a palindrome (183748847381).

The spelling of 163728020020 in words is "one hundred sixty-three billion, seven hundred twenty-eight million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 47320237 94640474 189280948 236601185 473202370 946404740 8186401001 16372802002 32745604004 40932005005 81864010010 163728020020