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66648870 = 23251315653
BaseRepresentation
bin1111111000111…
…1101100100110
311122102010001200
43332033230212
5114030230440
610340303330
71436335401
oct376175446
9148363050
1066648870
1134692312
121a3a1b46
1310a67402
148bccd38
155cb7c30
hex3f8fb26

66648870 has 48 divisors (see below), whose sum is σ = 174640752. Its totient is φ = 17634240.

The previous prime is 66648859. The next prime is 66648887. The reversal of 66648870 is 7884666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 8964 + ... + 14616.

It is an arithmetic number, because the mean of its divisors is an integer number (3638349).

Almost surely, 266648870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66648870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87320376).

66648870 is an abundant number, since it is smaller than the sum of its proper divisors (107991882).

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

66648870 is a wasteful number, since it uses less digits than its factorization.

66648870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66648870 is about 8163.8759177244. The cubic root of 66648870 is about 405.4440488533. Note that the first 3 decimals are identical.

The spelling of 66648870 in words is "sixty-six million, six hundred forty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5653 5895 11306 11790 16959 28265 33918 50877 56530 84795 101754 169590 254385 508770 740543 1481086 2221629 3702715 4443258 6664887 7405430 11108145 13329774 22216290 33324435 66648870