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6768687375 = 33534771601
BaseRepresentation
bin1100100110111000…
…11111100100001111
3122110201110221112000
412103130133210033
5102330240444000
63035352243343
7326506615302
oct62334374417
918421427460
106768687375
11296382500a
12138a9a0553
1383b407378
14482d46b39
15299377000
hex19371f90f

6768687375 has 128 divisors (see below), whose sum is σ = 12982394880. Its totient is φ = 3477600000.

The previous prime is 6768687371. The next prime is 6768687383. The reversal of 6768687375 is 5737868676.

It is not a de Polignac number, because 6768687375 - 22 = 6768687371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768687371) 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 127 ways as a sum of consecutive naturals, for example, 11262075 + ... + 11262675.

It is an arithmetic number, because the mean of its divisors is an integer number (101424960).

Almost surely, 26768687375 is an apocalyptic number.

6768687375 is a deficient number, since it is larger than the sum of its proper divisors (6213707505).

6768687375 is a wasteful number, since it uses less digits than its factorization.

6768687375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 727 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The square root of 6768687375 is about 82272.0327632665. The cubic root of 6768687375 is about 1891.6240135630.

The spelling of 6768687375 in words is "six billion, seven hundred sixty-eight million, six hundred eighty-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 47 71 75 125 135 141 213 225 235 355 375 423 601 639 675 705 1065 1125 1175 1269 1775 1803 1917 2115 3005 3195 3337 3375 3525 5325 5409 5875 6345 8875 9015 9585 10011 10575 15025 15975 16227 16685 17625 26625 27045 28247 30033 31725 42671 45075 47925 50055 52875 75125 79875 81135 83425 84741 90099 128013 135225 141235 150165 158625 213355 225375 239625 250275 254223 384039 405675 417125 423705 450495 640065 676125 706175 750825 762669 1066775 1152117 1251375 1271115 1920195 2005537 2028375 2118525 2252475 3200325 3530875 3754125 3813345 5333875 5760585 6016611 6355575 9600975 10027685 10592625 11262375 16001625 18049833 19066725 28802925 30083055 31777875 48004875 50138425 54149499 90249165 95333625 144014625 150415275 250692125 270747495 451245825 752076375 1353737475 2256229125 6768687375