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66144414 = 23721571433
BaseRepresentation
bin1111110001010…
…0100010011110
311121110111002010
43330110202132
5113413110124
610321412050
71432134600
oct374244236
9147414063
1066144414
1134378306
121a19a026
131091b90b
148adb170
155c18529
hex3f1489e

66144414 has 48 divisors (see below), whose sum is σ = 154975248. Its totient is φ = 18764928.

The previous prime is 66144391. The next prime is 66144427. The reversal of 66144414 is 41444166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45442 + ... + 46874.

It is an arithmetic number, because the mean of its divisors is an integer number (3228651).

Almost surely, 266144414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66144414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77487624).

66144414 is an abundant number, since it is smaller than the sum of its proper divisors (88830834).

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

66144414 is a wasteful number, since it uses less digits than its factorization.

66144414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1602 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 66144414 is about 8132.9216152623. The cubic root of 66144414 is about 404.4185406925.

The spelling of 66144414 in words is "sixty-six million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 294 314 471 942 1099 1433 2198 2866 3297 4299 6594 7693 8598 10031 15386 20062 23079 30093 46158 60186 70217 140434 210651 224981 421302 449962 674943 1349886 1574867 3149734 4724601 9449202 11024069 22048138 33072207 66144414