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63144681 = 31737109307
BaseRepresentation
bin1111000011100…
…0001011101001
311101211002012220
43300320023221
5112131112211
610133224253
71364502165
oct360701351
9141732186
1063144681
1132709596
1219192089
131010b422
148559ca5
155824806
hex3c382e9

63144681 has 32 divisors (see below), whose sum is σ = 92695680. Its totient is φ = 38071296.

The previous prime is 63144671. The next prime is 63144703. The reversal of 63144681 is 18644136.

63144681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63144681 - 25 = 63144649 is a prime.

It is a super-2 number, since 2×631446812 = 7974501477183522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63144611) 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 31 ways as a sum of consecutive naturals, for example, 205530 + ... + 205836.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 263144681 is an apocalyptic number.

It is an amenable number.

63144681 is a deficient number, since it is larger than the sum of its proper divisors (29550999).

63144681 is a wasteful number, since it uses less digits than its factorization.

63144681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its digits is 13824, while the sum is 33.

The square root of 63144681 is about 7946.3627528574. The cubic root of 63144681 is about 398.2100879002.

The spelling of 63144681 in words is "sixty-three million, one hundred forty-four thousand, six hundred eighty-one".

Divisors: 1 3 17 37 51 109 111 307 327 629 921 1853 1887 4033 5219 5559 11359 12099 15657 33463 34077 68561 100389 193103 205683 568871 579309 1238131 1706613 3714393 21048227 63144681