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66703950 = 23252227653
BaseRepresentation
bin1111111001110…
…1001001001110
311122111220121200
43332131021032
5114034011300
610341410330
71436655105
oct376351116
9148456550
1066703950
113471a735
121a4099a6
1310a864c1
148c0503c
155cc9200
hex3f9d24e

66703950 has 72 divisors (see below), whose sum is σ = 180276408. Its totient is φ = 17682240.

The previous prime is 66703919. The next prime is 66703957. The reversal of 66703950 is 5930766.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66703957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101824 + ... + 102476.

It is an arithmetic number, because the mean of its divisors is an integer number (2503839).

Almost surely, 266703950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66703950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90138204).

66703950 is an abundant number, since it is smaller than the sum of its proper divisors (113572458).

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

66703950 is a wasteful number, since it uses less digits than its factorization.

66703950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 66703950 is about 8167.2486187210. The cubic root of 66703950 is about 405.5557072065. Note that the first 3 decimals are identical.

The spelling of 66703950 in words is "sixty-six million, seven hundred three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 227 450 454 653 681 1135 1306 1362 1959 2043 2270 3265 3405 3918 4086 5675 5877 6530 6810 9795 10215 11350 11754 16325 17025 19590 20430 29385 32650 34050 48975 51075 58770 97950 102150 146925 148231 293850 296462 444693 741155 889386 1334079 1482310 2223465 2668158 3705775 4446930 6670395 7411550 11117325 13340790 22234650 33351975 66703950