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66334243365 = 32513229495161
BaseRepresentation
bin111101110001110101…
…000011101000100101
320100012221120201010100
4331301311003220211
52041323031241430
650250141014313
74535552523345
oct756165035045
9210187521110
1066334243365
112614aa50935
1210a33254399
136341b532a0
1432d3c2ad25
151ad38b0960
hexf71d43a25

66334243365 has 48 divisors (see below), whose sum is σ = 124364887920. Its totient is φ = 32514186240.

The previous prime is 66334243337. The next prime is 66334243403. The reversal of 66334243365 is 56334243366.

66334243365 is a `hidden beast` number, since 6 + 633 + 4 + 2 + 4 + 3 + 3 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1055015361 + 65279228004 = 32481^2 + 255498^2 .

It is not a de Polignac number, because 66334243365 - 26 = 66334243301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66334243365.

It is a congruent number.

It is an unprimeable number.

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, 113616 + ... + 381545.

It is an arithmetic number, because the mean of its divisors is an integer number (2590935165).

Almost surely, 266334243365 is an apocalyptic number.

66334243365 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66334243365 is a deficient number, since it is larger than the sum of its proper divisors (58030644555).

66334243365 is a wasteful number, since it uses less digits than its factorization.

66334243365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495414 (or 495411 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 45.

Subtracting from 66334243365 its reverse (56334243366), we obtain a palindrome (9999999999).

The spelling of 66334243365 in words is "sixty-six billion, three hundred thirty-four million, two hundred forty-three thousand, three hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 229 585 687 1145 2061 2977 3435 8931 10305 14885 26793 44655 133965 495161 1485483 2475805 4456449 6437093 7427415 19311279 22282245 32185465 57933837 96556395 113391869 289669185 340175607 566959345 1020526821 1474094297 1700878035 4422282891 5102634105 7370471485 13266848673 22111414455 66334243365