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66113216 = 2613229347
BaseRepresentation
bin1111110000110…
…0111011000000
311121101220021122
43330030323000
5113411110331
610321011412
71431644621
oct374147300
9147356248
1066113216
1134356924
121a183b68
131090a660
148acda48
155c0e17b
hex3f0cec0

66113216 has 56 divisors (see below), whose sum is σ = 142311120. Its totient is φ = 30292992.

The previous prime is 66113209. The next prime is 66113219. The reversal of 66113216 is 61231166.

66113216 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 (26).

It is not an unprimeable number, because it can be changed into a prime (66113219) 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 7 ways as a sum of consecutive naturals, for example, 190355 + ... + 190701.

It is an arithmetic number, because the mean of its divisors is an integer number (2541270).

Almost surely, 266113216 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 66113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71155560).

66113216 is an abundant number, since it is smaller than the sum of its proper divisors (76197904).

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

66113216 is a wasteful number, since it uses less digits than its factorization.

66113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 66113216 is about 8131.0033821171. The cubic root of 66113216 is about 404.3549473464.

The spelling of 66113216 in words is "sixty-six million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 229 347 416 458 694 832 916 1388 1832 2776 2977 3664 4511 5552 5954 7328 9022 11104 11908 14656 18044 22208 23816 36088 47632 72176 79463 95264 144352 158926 190528 288704 317852 635704 1033019 1271408 2066038 2542816 4132076 5085632 8264152 16528304 33056608 66113216