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66417078 = 237131031181
BaseRepresentation
bin1111110101011…
…1000110110110
311121222100002210
43331113012312
5114000321303
610331314250
71434351540
oct375270666
9147870083
1066417078
1134544152
121a2ab986
13109b5a60
148b6c690
155c6e203
hex3f571b6

66417078 has 64 divisors (see below), whose sum is σ = 165215232. Its totient is φ = 17331840.

The previous prime is 66417059. The next prime is 66417083. The reversal of 66417078 is 87071466.

It is a super-2 number, since 2×664170782 = 8822456500116168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 55648 + ... + 56828.

It is an arithmetic number, because the mean of its divisors is an integer number (2581488).

Almost surely, 266417078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66417078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82607616).

66417078 is an abundant number, since it is smaller than the sum of its proper divisors (98798154).

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

66417078 is a wasteful number, since it uses less digits than its factorization.

66417078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 66417078 is about 8149.6673551747. The cubic root of 66417078 is about 404.9734840131.

The spelling of 66417078 in words is "sixty-six million, four hundred seventeen thousand, seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 182 206 273 309 546 618 721 1181 1339 1442 2163 2362 2678 3543 4017 4326 7086 8034 8267 9373 15353 16534 18746 24801 28119 30706 46059 49602 56238 92118 107471 121643 214942 243286 322413 364929 644826 729858 851501 1581359 1703002 2554503 3162718 4744077 5109006 9488154 11069513 22139026 33208539 66417078