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66014496 = 2532229217
BaseRepresentation
bin1111101111010…
…0110100100000
311121012212212100
43323310310200
5113344430441
610314530400
71431054042
oct373646440
9147185770
1066014496
1134299739
121a136a00
13108a4742
148aa5a92
155bdecb6
hex3ef4d20

66014496 has 36 divisors (see below), whose sum is σ = 187729542. Its totient is φ = 22004736.

The previous prime is 66014491. The next prime is 66014513. The reversal of 66014496 is 69441066.

66014496 is a `hidden beast` number, since 6 + 601 + 4 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 404496 = 8100^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66014496.

It is not an unprimeable number, because it can be changed into a prime (66014491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114321 + ... + 114896.

Almost surely, 266014496 is an apocalyptic number.

It is an amenable number.

66014496 is an abundant number, since it is smaller than the sum of its proper divisors (121715046).

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

66014496 is a wasteful number, since it uses less digits than its factorization.

66014496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229233 (or 229222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66014496 is about 8124.9305227799. The cubic root of 66014496 is about 404.1535866718.

The spelling of 66014496 in words is "sixty-six million, fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 229217 458434 687651 916868 1375302 1833736 2062953 2750604 3667472 4125906 5501208 7334944 8251812 11002416 16503624 22004832 33007248 66014496