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66005941248 = 2103213737547
BaseRepresentation
bin111101011110010000…
…101011110000000000
320022101001211020021200
4331132100223300000
52040140010104443
650153412221200
74524455146332
oct753620536000
9208331736250
1066005941248
1125aa16a6675
121096130a800
1362bbb26290
1432a23ab452
151ab4b60dd3
hexf5e42bc00

66005941248 has 264 divisors, whose sum is σ = 208090781808. Its totient is φ = 20028653568.

The previous prime is 66005941207. The next prime is 66005941249. The reversal of 66005941248 is 84214950066.

66005941248 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 594 + 12 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66005941249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8742211 + ... + 8749757.

Almost surely, 266005941248 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 66005941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104045390904).

66005941248 is an abundant number, since it is smaller than the sum of its proper divisors (142084840560).

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

66005941248 is a wasteful number, since it uses less digits than its factorization.

66005941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 66005941248 in words is "sixty-six billion, five million, nine hundred forty-one thousand, two hundred forty-eight".