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66950656 = 29433041
BaseRepresentation
bin1111111101100…
…1011000000000
311122222110000221
43333121120000
5114114410111
610350552424
71442033263
oct377313000
9148873027
1066950656
1134879023
121a508714
1310b41896
148c6acda
155d27371
hex3fd9600

66950656 has 40 divisors (see below), whose sum is σ = 136926504. Its totient is φ = 32686080.

The previous prime is 66950651. The next prime is 66950671. The reversal of 66950656 is 65605966.

66950656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66950651) by changing a digit.

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, 20496 + ... + 23536.

Almost surely, 266950656 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 66950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68463252).

66950656 is an abundant number, since it is smaller than the sum of its proper divisors (69975848).

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

66950656 is an equidigital number, since it uses as much as digits as its factorization.

66950656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The square root of 66950656 is about 8182.3380521707. The cubic root of 66950656 is about 406.0550775821.

The spelling of 66950656 in words is "sixty-six million, nine hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 3041 5504 6082 11008 12164 22016 24328 48656 97312 130763 194624 261526 389248 523052 778496 1046104 1556992 2092208 4184416 8368832 16737664 33475328 66950656