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163677681 = 32157115837
BaseRepresentation
bin10011100000110…
…00010111110001
3102101222200120100
421300120113301
5313400141211
624124103013
74025144256
oct1160302761
9371880510
10163677681
1184434512
1246994a69
1327baa6cb
1417a4942d
15e582156
hex9c185f1

163677681 has 12 divisors (see below), whose sum is σ = 237931252. Its totient is φ = 108422496.

The previous prime is 163677673. The next prime is 163677691. The reversal of 163677681 is 186776361.

163677681 is a `hidden beast` number, since 1 + 636 + 7 + 7 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 108680625 = 7416^2 + 10425^2 .

It is not a de Polignac number, because 163677681 - 23 = 163677673 is a prime.

It is a super-2 number, since 2×1636776812 = 53580766515075522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (163677601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56506 + ... + 59331.

Almost surely, 2163677681 is an apocalyptic number.

It is an amenable number.

163677681 is a deficient number, since it is larger than the sum of its proper divisors (74253571).

163677681 is a wasteful number, since it uses less digits than its factorization.

163677681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116000 (or 115997 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 163677681 is about 12793.6578428532. The cubic root of 163677681 is about 547.0115390708.

The spelling of 163677681 in words is "one hundred sixty-three million, six hundred seventy-seven thousand, six hundred eighty-one".

Divisors: 1 3 9 157 471 1413 115837 347511 1042533 18186409 54559227 163677681