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57968486975 = 527857386521
BaseRepresentation
bin110101111111001100…
…001110101000111111
312112121220221020210002
4311333030032220333
51422204413040400
642344053504515
74121341003130
oct657714165077
9175556836702
1057968486975
1122647777283
12b29964213b
13560a8cb289
142b3cb53c87
151794217ed5
hexd7f30ea3f

57968486975 has 24 divisors (see below), whose sum is σ = 82245697248. Its totient is φ = 39703334400.

The previous prime is 57968486971. The next prime is 57968486993.

57968486975 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57968486975 - 22 = 57968486971 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 (57968486971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43286 + ... + 343235.

It is an arithmetic number, because the mean of its divisors is an integer number (3426904052).

Almost surely, 257968486975 is an apocalyptic number.

57968486975 is a deficient number, since it is larger than the sum of its proper divisors (24277210273).

57968486975 is a wasteful number, since it uses less digits than its factorization.

57968486975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387395 (or 387390 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 74.

The spelling of 57968486975 in words is "fifty-seven billion, nine hundred sixty-eight million, four hundred eighty-six thousand, nine hundred seventy-five".

Divisors: 1 5 7 25 35 175 857 4285 5999 21425 29995 149975 386521 1932605 2705647 9663025 13528235 67641175 331248497 1656242485 2318739479 8281212425 11593697395 57968486975