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66563022240 = 2533511131953107
BaseRepresentation
bin111101111111011101…
…110001110110100000
320100210220001212202000
4331333131301312200
52042310113202430
650324552324000
74544331232221
oct757735616640
9210726055660
1066563022240
11262580aa890
1210a979a3600
13637a3757c0
143316381248
151ae8a01e60
hexf7f771da0

66563022240 has 1536 divisors, whose sum is σ = 296284262400. Its totient is φ = 13715619840.

The previous prime is 66563022217. The next prime is 66563022287. The reversal of 66563022240 is 4222036566.

66563022240 is a `hidden beast` number, since 66 + 56 + 302 + 2 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66563022195 and 66563022204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 622084267 + ... + 622084373.

It is an arithmetic number, because the mean of its divisors is an integer number (192893400).

Almost surely, 266563022240 is an apocalyptic number.

66563022240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66563022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148142131200).

66563022240 is an abundant number, since it is smaller than the sum of its proper divisors (229721240160).

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

66563022240 is a wasteful number, since it uses less digits than its factorization.

66563022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 66563022240 in words is "sixty-six billion, five hundred sixty-three million, twenty-two thousand, two hundred forty".