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66448701 = 3311229977
BaseRepresentation
bin1111110101111…
…0110100111101
311122000221111000
43331132310331
5114002324301
610332120513
71434542664
oct375366475
9148027430
1066448701
1134565990
121a306139
13109c7277
148b79ddb
155c78786
hex3f5ed3d

66448701 has 32 divisors (see below), whose sum is σ = 107971200. Its totient is φ = 40055040.

The previous prime is 66448693. The next prime is 66448727. The reversal of 66448701 is 10784466.

66448701 is a `hidden beast` number, since 6 + 644 + 8 + 7 + 0 + 1 = 666.

It is not a de Polignac number, because 66448701 - 23 = 66448693 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66448751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67525 + ... + 68501.

It is an arithmetic number, because the mean of its divisors is an integer number (3374100).

Almost surely, 266448701 is an apocalyptic number.

It is an amenable number.

66448701 is a deficient number, since it is larger than the sum of its proper divisors (41522499).

66448701 is a wasteful number, since it uses less digits than its factorization.

66448701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 66448701 is about 8151.6072648282. The cubic root of 66448701 is about 405.0377468247.

The spelling of 66448701 in words is "sixty-six million, four hundred forty-eight thousand, seven hundred one".

Divisors: 1 3 9 11 27 33 99 229 297 687 977 2061 2519 2931 6183 7557 8793 10747 22671 26379 32241 68013 96723 223733 290169 671199 2013597 2461063 6040791 7383189 22149567 66448701