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66272668 = 22711231631
BaseRepresentation
bin1111110011001…
…1110110011100
311121201000000021
43330303312130
5113431211133
610324241524
71433210530
oct374636634
9147630007
1066272668
1134455700
121a2402a4
13109650c7
148b31bc0
155c4152d
hex3f33d9c

66272668 has 72 divisors (see below), whose sum is σ = 150628352. Its totient is φ = 24948000.

The previous prime is 66272663. The next prime is 66272669. The reversal of 66272668 is 86627266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66272663) 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 23 ways as a sum of consecutive naturals, for example, 104713 + ... + 105343.

Almost surely, 266272668 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 66272668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75314176).

66272668 is an abundant number, since it is smaller than the sum of its proper divisors (84355684).

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

66272668 is a wasteful number, since it uses less digits than its factorization.

66272668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 66272668 is about 8140.8026631285. The cubic root of 66272668 is about 404.6797610750.

The spelling of 66272668 in words is "sixty-six million, two hundred seventy-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 121 124 154 217 242 308 341 434 484 631 682 847 868 1262 1364 1694 2387 2524 3388 3751 4417 4774 6941 7502 8834 9548 13882 15004 17668 19561 26257 27764 39122 48587 52514 76351 78244 97174 105028 136927 152702 194348 215171 273854 305404 430342 534457 547708 860684 1068914 1506197 2137828 2366881 3012394 4733762 6024788 9467524 16568167 33136334 66272668