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66113005 = 572449601
BaseRepresentation
bin1111110000110…
…0110111101101
311121101212222211
43330030313231
5113411104010
610321010421
71431644200
oct374146755
9147355884
1066113005
1134356752
121a183a11
131090a52a
148acd937
155c0e08a
hex3f0cded

66113005 has 24 divisors (see below), whose sum is σ = 92647800. Its totient is φ = 45158400.

The previous prime is 66112979. The next prime is 66113041. The reversal of 66113005 is 50031166.

It can be written as a sum of positive squares in 4 ways, for example, as 18957316 + 47155689 = 4354^2 + 6867^2 .

It is not a de Polignac number, because 66113005 - 215 = 66080237 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 109705 + ... + 110305.

It is an arithmetic number, because the mean of its divisors is an integer number (3860325).

Almost surely, 266113005 is an apocalyptic number.

It is an amenable number.

66113005 is a deficient number, since it is larger than the sum of its proper divisors (26534795).

66113005 is a wasteful number, since it uses less digits than its factorization.

66113005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 66113005 is about 8130.9904070783. The cubic root of 66113005 is about 404.3545171804.

The spelling of 66113005 in words is "sixty-six million, one hundred thirteen thousand, five".

Divisors: 1 5 7 35 49 245 449 601 2245 3005 3143 4207 15715 21035 22001 29449 110005 147245 269849 1349245 1888943 9444715 13222601 66113005