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64064342133 = 3211258828597
BaseRepresentation
bin111011101010100010…
…000100100001110101
320010100202100210000100
4323222202010201311
52022200432422013
645233013104313
74425400631451
oct735242044165
9203322323010
1064064342133
1125195718500
12104bb028099
13606c7b906c
14315a595661
1519ee487473
hexeea884875

64064342133 has 18 divisors (see below), whose sum is σ = 101714645942. Its totient is φ = 38826873360.

The previous prime is 64064342131. The next prime is 64064342191. The reversal of 64064342133 is 33124346046.

64064342133 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 434 + 213 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41874664689 + 22189677444 = 204633^2 + 148962^2 .

It is not a de Polignac number, because 64064342133 - 21 = 64064342131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64064342131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29413210 + ... + 29415387.

Almost surely, 264064342133 is an apocalyptic number.

It is an amenable number.

64064342133 is a deficient number, since it is larger than the sum of its proper divisors (37650303809).

64064342133 is a wasteful number, since it uses less digits than its factorization.

64064342133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58828625 (or 58828611 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 64064342133 its reverse (33124346046), we get a palindrome (97188688179).

The spelling of 64064342133 in words is "sixty-four billion, sixty-four million, three hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 58828597 176485791 529457373 647114567 1941343701 5824031103 7118260237 21354780711 64064342133