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66354172 = 222337101193
BaseRepresentation
bin1111110100011…
…1101111111100
311121212010210221
43331013233330
5113441313142
610330111124
71434000253
oct375075774
9147763727
1066354172
1134500965
121a27b4a4
1310993231
148b5379a
155c5a767
hex3f47bfc

66354172 has 48 divisors (see below), whose sum is σ = 126326592. Its totient is φ = 30412800.

The previous prime is 66354163. The next prime is 66354193. The reversal of 66354172 is 27145366.

It is a happy number.

It is a super-3 number, since 3×663541723 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 343708 + ... + 343900.

It is an arithmetic number, because the mean of its divisors is an integer number (2631804).

Almost surely, 266354172 is an apocalyptic number.

It is an amenable number.

66354172 is a deficient number, since it is larger than the sum of its proper divisors (59972420).

66354172 is a wasteful number, since it uses less digits than its factorization.

66354172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 66354172 is about 8145.8070195653. The cubic root of 66354172 is about 404.8455886493.

The spelling of 66354172 in words is "sixty-six million, three hundred fifty-four thousand, one hundred seventy-two".

Divisors: 1 2 4 23 37 46 74 92 101 148 193 202 386 404 772 851 1702 2323 3404 3737 4439 4646 7141 7474 8878 9292 14282 14948 17756 19493 28564 38986 77972 85951 164243 171902 328486 343804 448339 656972 721241 896678 1442482 1793356 2884964 16588543 33177086 66354172