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257686047069 = 31129383370249
BaseRepresentation
bin1110111111111101001…
…0010000100101011101
3220122010120202111120020
43233333102100211131
513210220112001234
6314213534142353
724421462155153
oct3577722204535
9818116674506
10257686047069
119a314068170
1241b366519b9
131b3b855a339
14c6875133d3
156a8299b549
hex3bff49095d

257686047069 has 32 divisors (see below), whose sum is σ = 387847440000. Its totient is φ = 150746588160.

The previous prime is 257686046951. The next prime is 257686047077. The reversal of 257686047069 is 960740686752.

It is not a de Polignac number, because 257686047069 - 212 = 257686042973 is a prime.

It is a super-2 number, since 2×2576860470692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257686047569) 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 31 ways as a sum of consecutive naturals, for example, 3633057 + ... + 3703305.

It is an arithmetic number, because the mean of its divisors is an integer number (12120232500).

Almost surely, 2257686047069 is an apocalyptic number.

257686047069 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

257686047069 is a deficient number, since it is larger than the sum of its proper divisors (130161392931).

257686047069 is a wasteful number, since it uses less digits than its factorization.

257686047069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74125.

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 257686047069 in words is "two hundred fifty-seven billion, six hundred eighty-six million, forty-seven thousand, sixty-nine".

Divisors: 1 3 11 29 33 87 319 957 3833 11499 42163 70249 111157 126489 210747 333471 772739 1222727 2037221 2318217 3668181 6111663 22409431 67228293 269264417 807793251 2961908587 7808668093 8885725761 23426004279 85895349023 257686047069