Search a number
-
+
66441414466 = 27217203919559
BaseRepresentation
bin111101111000001101…
…111000011101000010
320100111102020120020101
4331320031320131002
52042033000230331
650304530033014
74541323463500
oct757015703502
9210442216211
1066441414466
11261a54a0099
1210a6311876a
13635b107b3b
143304167670
151adced0061
hexf78378742

66441414466 has 48 divisors (see below), whose sum is σ = 122819587200. Its totient is φ = 26785385088.

The previous prime is 66441414451. The next prime is 66441414503.

It is a happy number.

66441414466 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387195 + ... + 3406753.

It is an arithmetic number, because the mean of its divisors is an integer number (2558741400).

Almost surely, 266441414466 is an apocalyptic number.

66441414466 is a deficient number, since it is larger than the sum of its proper divisors (56378172734).

66441414466 is a wasteful number, since it uses less digits than its factorization.

66441414466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21631 (or 21624 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The spelling of 66441414466 in words is "sixty-six billion, four hundred forty-one million, four hundred fourteen thousand, four hundred sixty-six".

Divisors: 1 2 7 14 17 34 49 98 119 238 833 1666 2039 4078 14273 19559 28546 34663 39118 69326 99911 136913 199822 242641 273826 332503 485282 665006 958391 1698487 1916782 2327521 3396974 4655042 16292647 32585294 39880801 79761602 279165607 558331214 677973617 1355947234 1954159249 3908318498 4745815319 9491630638 33220707233 66441414466