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66212625 = 353199293
BaseRepresentation
bin1111110010010…
…1001100010001
311121120221122110
43330211030101
5113422301000
610323055533
71432540503
oct374451421
9147527573
1066212625
1134414586
121a2115a9
131094398b
148b17d73
155c2d850
hex3f25311

66212625 has 32 divisors (see below), whose sum is σ = 115989120. Its totient is φ = 33451200.

The previous prime is 66212609. The next prime is 66212639. The reversal of 66212625 is 52621266.

66212625 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 66212625 - 24 = 66212609 is a prime.

It is a super-2 number, since 2×662126252 = 8768223418781250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66212592 and 66212601.

It is a congruent number.

It is an unprimeable number.

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, 2479 + ... + 11771.

It is an arithmetic number, because the mean of its divisors is an integer number (3624660).

Almost surely, 266212625 is an apocalyptic number.

It is an amenable number.

66212625 is a deficient number, since it is larger than the sum of its proper divisors (49776495).

66212625 is a wasteful number, since it uses less digits than its factorization.

66212625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9320 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 66212625 is about 8137.1140461468. The cubic root of 66212625 is about 404.5575109359.

The spelling of 66212625 in words is "sixty-six million, two hundred twelve thousand, six hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 475 1425 2375 7125 9293 27879 46465 139395 176567 232325 529701 696975 882835 1161625 2648505 3484875 4414175 13242525 22070875 66212625