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66948066 = 2332942751
BaseRepresentation
bin1111111101100…
…0101111100010
311122222022111000
43333120233202
5114114314231
610350532430
71442022603
oct377305742
9148868430
1066948066
1134877089
121a507116
1310b40653
148c69daa
155d266e6
hex3fd8be2

66948066 has 32 divisors (see below), whose sum is σ = 153907200. Its totient is φ = 21546000.

The previous prime is 66948061. The next prime is 66948073. The reversal of 66948066 is 66084966.

It is a super-2 number, since 2×669480662 = 8964087082280712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66948061) 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 15 ways as a sum of consecutive naturals, for example, 19810 + ... + 22941.

It is an arithmetic number, because the mean of its divisors is an integer number (4809600).

Almost surely, 266948066 is an apocalyptic number.

66948066 is an abundant number, since it is smaller than the sum of its proper divisors (86959134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66948066 is a wasteful number, since it uses less digits than its factorization.

66948066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42791 (or 42785 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66948066 is about 8182.1797829185. The cubic root of 66948066 is about 406.0498414063.

The spelling of 66948066 in words is "sixty-six million, nine hundred forty-eight thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 42751 85502 128253 256506 384759 769518 1154277 1239779 2308554 2479558 3719337 7438674 11158011 22316022 33474033 66948066