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66829604 = 22106915629
BaseRepresentation
bin1111111011101…
…1110100100100
311122202021222112
43332323310210
5114102021404
610344220152
71441020332
oct376736444
9148667875
1066829604
11347a6086
121a46a658
1310acb75a
148c38b52
155d0156e
hex3fbbd24

66829604 has 12 divisors (see below), whose sum is σ = 117068700. Its totient is φ = 33381408.

The previous prime is 66829603. The next prime is 66829613. The reversal of 66829604 is 40692866.

It can be written as a sum of positive squares in 2 ways, for example, as 55472704 + 11356900 = 7448^2 + 3370^2 .

It is a super-3 number, since 3×668296043 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66829603) 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 3 ways as a sum of consecutive naturals, for example, 3539 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (9755725).

Almost surely, 266829604 is an apocalyptic number.

It is an amenable number.

66829604 is a deficient number, since it is larger than the sum of its proper divisors (50239096).

66829604 is a wasteful number, since it uses less digits than its factorization.

66829604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16702 (or 16700 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 66829604 is about 8174.9375532783. The cubic root of 66829604 is about 405.8102035380.

The spelling of 66829604 in words is "sixty-six million, eight hundred twenty-nine thousand, six hundred four".

Divisors: 1 2 4 1069 2138 4276 15629 31258 62516 16707401 33414802 66829604