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66413214 = 2327677867
BaseRepresentation
bin1111110101011…
…0001010011110
311121222010210200
43331112022132
5114000210324
610331244330
71434334350
oct375261236
9147863720
1066413214
113454125a
121a2a96a6
13109b407a
148b6b0d0
155c6cec9
hex3f5629e

66413214 has 48 divisors (see below), whose sum is σ = 166927488. Its totient is φ = 18689616.

The previous prime is 66413159. The next prime is 66413287. The reversal of 66413214 is 41231466.

66413214 is a `hidden beast` number, since 6 + 641 + 3 + 2 + 14 = 666.

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, 4509 + ... + 12375.

It is an arithmetic number, because the mean of its divisors is an integer number (3477656).

Almost surely, 266413214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66413214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83463744).

66413214 is an abundant number, since it is smaller than the sum of its proper divisors (100514274).

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

66413214 is a wasteful number, since it uses less digits than its factorization.

66413214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7946 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66413214 is about 8149.4302868360. The cubic root of 66413214 is about 404.9656303710.

The spelling of 66413214 in words is "sixty-six million, four hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 7867 8442 15734 23601 47202 55069 70803 110138 141606 165207 330414 495621 527089 991242 1054178 1581267 3162534 3689623 4743801 7379246 9487602 11068869 22137738 33206607 66413214