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66729143 = 1323147271
BaseRepresentation
bin1111111010001…
…1010010110111
311122120012011202
43332203102313
5114040313033
610342123115
71440121415
oct376432267
9148505152
1066729143
1134737658
121a42049b
1310a94b00
148c102b5
155cd18e8
hex3fa34b7

66729143 has 24 divisors (see below), whose sum is σ = 76455936. Its totient is φ = 58125600.

The previous prime is 66729127. The next prime is 66729151. The reversal of 66729143 is 34192766.

It is not a de Polignac number, because 66729143 - 24 = 66729127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66729097 and 66729106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66729043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246098 + ... + 246368.

It is an arithmetic number, because the mean of its divisors is an integer number (3185664).

Almost surely, 266729143 is an apocalyptic number.

66729143 is a deficient number, since it is larger than the sum of its proper divisors (9726793).

66729143 is a wasteful number, since it uses less digits than its factorization.

66729143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 66729143 is about 8168.7907917880. The cubic root of 66729143 is about 405.6067580509.

The spelling of 66729143 in words is "sixty-six million, seven hundred twenty-nine thousand, one hundred forty-three".

Divisors: 1 13 31 47 169 271 403 611 1457 3523 5239 7943 8401 12737 18941 45799 109213 165581 246233 394847 1419769 2152553 5133011 66729143