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66911768 = 23711195717
BaseRepresentation
bin1111111100111…
…1111000011000
311122220110200122
43333033320120
5114112134033
610350052412
71441512020
oct377177030
9148813618
1066911768
1134851890
121a4aa108
1310b29c81
148c5aa80
155d1aa98
hex3fcfe18

66911768 has 64 divisors (see below), whose sum is σ = 164678400. Its totient is φ = 24693120.

The previous prime is 66911753. The next prime is 66911771. The reversal of 66911768 is 86711966.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 2.

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 15 ways as a sum of consecutive naturals, for example, 8846 + ... + 14562.

It is an arithmetic number, because the mean of its divisors is an integer number (2573100).

Almost surely, 266911768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66911768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82339200).

66911768 is an abundant number, since it is smaller than the sum of its proper divisors (97766632).

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

66911768 is a wasteful number, since it uses less digits than its factorization.

66911768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5756 counting only the distinct ones).

The product of its digits is 108864, while the sum is 44.

The square root of 66911768 is about 8179.9613691019. The cubic root of 66911768 is about 405.9764439082.

The spelling of 66911768 in words is "sixty-six million, nine hundred eleven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5717 5852 11434 11704 22868 40019 45736 62887 80038 108623 125774 160076 217246 251548 320152 434492 440209 503096 760361 868984 880418 1194853 1520722 1760836 2389706 3041444 3521672 4779412 6082888 8363971 9558824 16727942 33455884 66911768