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66744064 = 28416359
BaseRepresentation
bin1111111010011…
…0111100000000
311122120221122101
43332212330000
5114041302224
610342320144
71440213052
oct376467400
9148527571
1066744064
1134747892
121a429054
1310a9b83a
148c158d2
155cd6044
hex3fa6f00

66744064 has 36 divisors (see below), whose sum is σ = 136498320. Its totient is φ = 32552960.

The previous prime is 66744061. The next prime is 66744113. The reversal of 66744064 is 46044766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66744061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7317 + ... + 13675.

It is an arithmetic number, because the mean of its divisors is an integer number (3791620).

Almost surely, 266744064 is an apocalyptic number.

66744064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68249160).

66744064 is an abundant number, since it is smaller than the sum of its proper divisors (69754256).

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

66744064 is an equidigital number, since it uses as much as digits as its factorization.

66744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 66744064 is about 8169.7040338069. The cubic root of 66744064 is about 405.6369877583.

The spelling of 66744064 in words is "sixty-six million, seven hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 6359 10496 12718 25436 50872 101744 203488 260719 406976 521438 813952 1042876 1627904 2085752 4171504 8343008 16686016 33372032 66744064