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66112705 = 541322501
BaseRepresentation
bin1111110000110…
…0110011000001
311121101212120201
43330030303001
5113411101310
610321005201
71431643261
oct374146301
9147355521
1066112705
11343564aa
121a183801
131090a359
148acd7a1
155c0de3a
hex3f0ccc1

66112705 has 8 divisors (see below), whose sum is σ = 81270504. Its totient is φ = 51600000.

The previous prime is 66112699. The next prime is 66112727. The reversal of 66112705 is 50721166.

66112705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 64016001 = 1448^2 + 8001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66112705 - 217 = 65981633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161046 + ... + 161455.

It is an arithmetic number, because the mean of its divisors is an integer number (10158813).

Almost surely, 266112705 is an apocalyptic number.

It is an amenable number.

66112705 is a deficient number, since it is larger than the sum of its proper divisors (15157799).

66112705 is a wasteful number, since it uses less digits than its factorization.

66112705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322547.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 66112705 is about 8130.9719591203. The cubic root of 66112705 is about 404.3539055683.

It can be divided in two parts, 6611 and 2705, that added together give a triangular number (9316 = T136).

The spelling of 66112705 in words is "sixty-six million, one hundred twelve thousand, seven hundred five".

Divisors: 1 5 41 205 322501 1612505 13222541 66112705