Search a number
-
+
66314474496 = 21035594517
BaseRepresentation
bin111101110000101001…
…101001010000000000
320100011120101100100000
4331300221221100000
52041303001140441
650244153200000
74535222506224
oct756051512000
9210146340300
1066314474496
112613a879226
1210a28700000
13633aa2112a
1432d1362784
151ad1ca82b6
hexf70a69400

66314474496 has 264 divisors, whose sum is σ = 201983876640. Its totient is φ = 21725356032.

The previous prime is 66314474489. The next prime is 66314474509. The reversal of 66314474496 is 69447441366.

66314474496 is a `hidden beast` number, since 6 + 6 + 3 + 144 + 7 + 4 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14678830 + ... + 14683346.

Almost surely, 266314474496 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 66314474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100991938320).

66314474496 is an abundant number, since it is smaller than the sum of its proper divisors (135669402144).

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

66314474496 is an equidigital number, since it uses as much as digits as its factorization.

66314474496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4581 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 66314474496 in words is "sixty-six billion, three hundred fourteen million, four hundred seventy-four thousand, four hundred ninety-six".