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66805068 = 223112139331
BaseRepresentation
bin1111111011010…
…1110101001100
311122201001022210
43332311311030
5114100230233
610343510420
71440555651
oct376656514
9148631283
1066805068
1134789700
121a458410
1310ac0535
148c2dc28
155ce9163
hex3fb5d4c

66805068 has 72 divisors (see below), whose sum is σ = 173091520. Its totient is φ = 20037600.

The previous prime is 66805021. The next prime is 66805073. The reversal of 66805068 is 86050866.

It is a super-2 number, since 2×668050682 = 8925834220969248, which contains 22 as substring.

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, 201663 + ... + 201993.

Almost surely, 266805068 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 66805068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86545760).

66805068 is an abundant number, since it is smaller than the sum of its proper divisors (106286452).

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

66805068 is a wasteful number, since it uses less digits than its factorization.

66805068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 66805068 is about 8173.4367312655. The cubic root of 66805068 is about 405.7605340435.

The spelling of 66805068 in words is "sixty-six million, eight hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 139 242 278 331 363 417 484 556 662 726 834 993 1324 1452 1529 1668 1986 3058 3641 3972 4587 6116 7282 9174 10923 14564 16819 18348 21846 33638 40051 43692 46009 50457 67276 80102 92018 100914 120153 138027 160204 184036 201828 240306 276054 480612 506099 552108 1012198 1518297 2024396 3036594 5567089 6073188 11134178 16701267 22268356 33402534 66805068