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66263362848 = 253523477883
BaseRepresentation
bin111101101101100110…
…101010110100100000
320100001000012121100000
4331231212222310200
52041201410102343
650235125500000
74534032201534
oct755546526440
9210030177300
1066263362848
1126113a392a1
1210a13571600
136330266a57
1432c8659bc4
151acc55ded3
hexf6d9aad20

66263362848 has 288 divisors, whose sum is σ = 208276862976. Its totient is φ = 20675305728.

The previous prime is 66263362819. The next prime is 66263362849. The reversal of 66263362848 is 84826336266.

66263362848 is a `hidden beast` number, since 6 + 6 + 2 + 6 + 3 + 3 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×662633628482 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66263362794 and 66263362803.

It is not an unprimeable number, because it can be changed into a prime (66263362849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8401915 + ... + 8409797.

It is an arithmetic number, because the mean of its divisors is an integer number (723183552).

Almost surely, 266263362848 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 66263362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104138431488).

66263362848 is an abundant number, since it is smaller than the sum of its proper divisors (142013500128).

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

66263362848 is a wasteful number, since it uses less digits than its factorization.

66263362848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7958 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 66263362848 in words is "sixty-six billion, two hundred sixty-three million, three hundred sixty-two thousand, eight hundred forty-eight".