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63676431 = 32721329383
BaseRepresentation
bin1111001011101…
…0000000001111
311102211002122100
43302322000033
5112300121211
610152450143
71402145400
oct362720017
9142732570
1063676431
1132a42055
12193a9953
1310266480
1486579a7
1558cc156
hex3cba00f

63676431 has 72 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 32344704.

The previous prime is 63676423. The next prime is 63676453. The reversal of 63676431 is 13467636.

It is a happy number.

63676431 is a `hidden beast` number, since 6 + 3 + 6 + 7 + 643 + 1 = 666.

63676431 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 63676431 - 23 = 63676423 is a prime.

It is a super-2 number, since 2×636764312 = 8109375729795522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63676471) 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 71 ways as a sum of consecutive naturals, for example, 166066 + ... + 166448.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 263676431 is an apocalyptic number.

63676431 is a deficient number, since it is larger than the sum of its proper divisors (55832049).

63676431 is a wasteful number, since it uses less digits than its factorization.

63676431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 63676431 is about 7979.7513119144. The cubic root of 63676431 is about 399.3247586810.

The spelling of 63676431 in words is "sixty-three million, six hundred seventy-six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 29 39 49 63 87 91 117 147 203 261 273 377 383 441 609 637 819 1131 1149 1421 1827 1911 2639 2681 3393 3447 4263 4979 5733 7917 8043 11107 12789 14937 18473 18767 23751 24129 33321 34853 44811 55419 56301 77749 99963 104559 144391 166257 168903 233247 243971 313677 433173 544243 699741 731913 1010737 1299519 1632729 2195739 3032211 4898187 7075159 9096633 21225477 63676431