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57268566586275 = 35211268748015381
BaseRepresentation
bin11010000010101111000001…
…00100010111001110100011
321111202211011212112101220220
431001113200210113032203
530001242011021230100
6321444452152534123
715030342316125252
oct1501274044271643
9244684155471826
1057268566586275
111727a50a938760
12650b0470b1343
1325c55308378c5
14101db56008799
15694a4814daa0
hex3415e09173a3

57268566586275 has 96 divisors (see below), whose sum is σ = 103370839842816. Its totient is φ = 27745305600000.

The previous prime is 57268566586271. The next prime is 57268566586331.

It is a happy number.

57268566586275 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57268566586275 - 22 = 57268566586271 is a prime.

It is a super-2 number, since 2×572685665862752 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57268566586275.

It is not an unprimeable number, because it can be changed into a prime (57268566586271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10642734085 + ... + 10642739465.

It is an arithmetic number, because the mean of its divisors is an integer number (1076779581696).

Almost surely, 257268566586275 is an apocalyptic number.

57268566586275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57268566586275 is a deficient number, since it is larger than the sum of its proper divisors (46102273256541).

57268566586275 is a wasteful number, since it uses less digits than its factorization.

57268566586275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12893 (or 12888 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 78.

The spelling of 57268566586275 in words is "fifty-seven trillion, two hundred sixty-eight billion, five hundred sixty-six million, five hundred eighty-six thousand, two hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 2687 4801 5381 8061 13435 14403 16143 24005 26905 29557 40305 52811 59191 67175 72015 80715 88671 120025 134525 147785 158433 177573 201525 264055 295955 360075 403575 443355 738925 792165 887865 1320275 1479775 2216775 3960825 4439325 12900287 14458747 25834181 38700861 43376241 64501435 72293735 77502543 129170905 141903157 159046217 193504305 216881205 284175991 322507175 361468675 387512715 425709471 477138651 645854525 709515785 795231085 852527973 967521525 1084406025 1420879955 1937563575 2128547355 2385693255 3547578925 3976155425 4262639865 7104399775 10642736775 11928466275 21313199325 69416444347 208249333041 347082221735 763580887817 1041246665205 1735411108675 2290742663451 3817904439085 5206233326025 11453713317255 19089522195425 57268566586275