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66989312 = 281320129
BaseRepresentation
bin1111111110001…
…0110100000000
311200001102001122
43333202310000
5114122124222
610351451412
71442254055
oct377426400
9150042048
1066989312
11348a5075
121a526b68
1310b56360
148c7b02c
155d33a42
hex3fe2d00

66989312 has 36 divisors (see below), whose sum is σ = 144010020. Its totient is φ = 30916608.

The previous prime is 66989309. The next prime is 66989353. The reversal of 66989312 is 21398966.

66989312 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 2 ways, for example, as 35808256 + 31181056 = 5984^2 + 5584^2 .

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 6737 + ... + 13392.

Almost surely, 266989312 is an apocalyptic number.

It is an amenable number.

66989312 is an abundant number, since it is smaller than the sum of its proper divisors (77020708).

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

66989312 is a wasteful number, since it uses less digits than its factorization.

66989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20158 (or 20144 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 66989312 is about 8184.6998723227. The cubic root of 66989312 is about 406.1332119677.

The spelling of 66989312 in words is "sixty-six million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 20129 40258 80516 161032 261677 322064 523354 644128 1046708 1288256 2093416 2576512 4186832 5153024 8373664 16747328 33494656 66989312