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57381018375 = 353569268921
BaseRepresentation
bin110101011100001011…
…001101101100000111
312111002222111202100210
4311130023031230013
51420004020042000
642205510210503
74100645415522
oct653413155407
9174088452323
1057381018375
11223760a843a
12b154953a33
135545c9c515
142ac4b0dbb9
15175c873350
hexd5c2cdb07

57381018375 has 32 divisors (see below), whose sum is σ = 95650176960. Its totient is φ = 30549312000.

The previous prime is 57381018337. The next prime is 57381018421.

57381018375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57381018375 - 26 = 57381018311 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 78915 + ... + 347835.

It is an arithmetic number, because the mean of its divisors is an integer number (2989068030).

Almost surely, 257381018375 is an apocalyptic number.

57381018375 is a deficient number, since it is larger than the sum of its proper divisors (38269158585).

57381018375 is a wasteful number, since it uses less digits than its factorization.

57381018375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269508 (or 269498 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 57381018375 in words is "fifty-seven billion, three hundred eighty-one million, eighteen thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 75 125 375 569 1707 2845 8535 14225 42675 71125 213375 268921 806763 1344605 4033815 6723025 20169075 33615125 100845375 153016049 459048147 765080245 2295240735 3825401225 11476203675 19127006125 57381018375