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66093056 = 2152017
BaseRepresentation
bin1111110000100…
…0000000000000
311121100212121222
43330020000000
5113404434211
610320334212
71431532061
oct374100000
9147325558
1066093056
1134342767
121a174368
1310901423
148ac6568
155c081db
hex3f08000

66093056 has 32 divisors (see below), whose sum is σ = 132249630. Its totient is φ = 33030144.

The previous prime is 66093011. The next prime is 66093101. The reversal of 66093056 is 65039066.

It is an interprime number because it is at equal distance from previous prime (66093011) and next prime (66093101).

It can be written as a sum of positive squares in only one way, i.e., 46022656 + 20070400 = 6784^2 + 4480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31760 + ... + 33776.

Almost surely, 266093056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66124815).

66093056 is an abundant number, since it is smaller than the sum of its proper divisors (66156574).

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

66093056 is an frugal number, since it uses more digits than its factorization.

66093056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 66093056 is about 8129.7635881986. The cubic root of 66093056 is about 404.3138429856.

The spelling of 66093056 in words is "sixty-six million, ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2017 2048 4034 4096 8068 8192 16136 16384 32272 32768 64544 129088 258176 516352 1032704 2065408 4130816 8261632 16523264 33046528 66093056