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57693286729 = 1325717268269
BaseRepresentation
bin110101101110110010…
…011011000101001001
312111220202002122000101
4311232302123011021
51421123440133404
642300503205401
74111456563061
oct655662330511
9174822078011
1057693286729
11225163a1261
12b221446861
1355958a44b0
142b143983a1
151779ea72a4
hexd6ec9b149

57693286729 has 8 divisors (see below), whose sum is σ = 62372991240. Its totient is φ = 53048119296.

The previous prime is 57693286711. The next prime is 57693286741. The reversal of 57693286729 is 92768239675.

It can be written as a sum of positive squares in 4 ways, for example, as 11176718400 + 46516568329 = 105720^2 + 215677^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57693286729 - 223 = 57684898121 is a prime.

It is a super-3 number, since 3×576932867293 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57693286709) 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 7 ways as a sum of consecutive naturals, for example, 8630794 + ... + 8637475.

It is an arithmetic number, because the mean of its divisors is an integer number (7796623905).

Almost surely, 257693286729 is an apocalyptic number.

It is an amenable number.

57693286729 is a deficient number, since it is larger than the sum of its proper divisors (4679704511).

57693286729 is a wasteful number, since it uses less digits than its factorization.

57693286729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268539.

The product of its digits is 68584320, while the sum is 64.

The spelling of 57693286729 in words is "fifty-seven billion, six hundred ninety-three million, two hundred eighty-six thousand, seven hundred twenty-nine".

Divisors: 1 13 257 3341 17268269 224487497 4437945133 57693286729