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66580465 = 5721914303
BaseRepresentation
bin1111110111111…
…0111111110001
311122021122020011
43331332333301
5114021033330
610335014521
71435632100
oct375767761
9148248204
1066580465
1134645986
121a36a441
1310a42233
148bb2037
155ca282a
hex3f7eff1

66580465 has 24 divisors (see below), whose sum is σ = 97839360. Its totient is φ = 43249248.

The previous prime is 66580411. The next prime is 66580477. The reversal of 66580465 is 56408566.

It is not a de Polignac number, because 66580465 - 215 = 66547697 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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, 2497 + ... + 11806.

It is an arithmetic number, because the mean of its divisors is an integer number (4076640).

Almost surely, 266580465 is an apocalyptic number.

It is an amenable number.

66580465 is a deficient number, since it is larger than the sum of its proper divisors (31258895).

66580465 is a wasteful number, since it uses less digits than its factorization.

66580465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14341 (or 14334 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 66580465 is about 8159.6853493257. The cubic root of 66580465 is about 405.3052923424.

It can be divided in two parts, 665 and 80465, that multiplied together give a square (53509225 = 73152).

The spelling of 66580465 in words is "sixty-six million, five hundred eighty thousand, four hundred sixty-five".

Divisors: 1 5 7 19 35 49 95 133 245 665 931 4655 14303 71515 100121 271757 500605 700847 1358785 1902299 3504235 9511495 13316093 66580465