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5766666675 = 3527211294919
BaseRepresentation
bin1010101111011100…
…00101100110110011
3112212220000000112020
411113232011212303
543302231313200
62352115402523
7262621600200
oct52756054663
915786000466
105766666675
11249a151030
12114b2b3443
1370b940503
143c9c30ca7
1523b3e6ea0
hex157b859b3

5766666675 has 144 divisors (see below), whose sum is σ = 12518841600. Its totient is φ = 2313427200.

The previous prime is 5766666629. The next prime is 5766666683.

5766666675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5766666675 - 212 = 5766662579 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 1169866 + ... + 1174784.

It is an arithmetic number, because the mean of its divisors is an integer number (86936400).

Almost surely, 25766666675 is an apocalyptic number.

5766666675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5766666675 is an abundant number, since it is smaller than the sum of its proper divisors (6752174925).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5766666675 is a wasteful number, since it uses less digits than its factorization.

5766666675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4974 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 60.

The square root of 5766666675 is about 75938.5717208324. The cubic root of 5766666675 is about 1793.2532076534.

The spelling of 5766666675 in words is "five billion, seven hundred sixty-six million, six hundred sixty-six thousand, six hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 29 33 35 49 55 75 77 87 105 145 147 165 175 203 231 245 275 319 385 435 525 539 609 725 735 825 957 1015 1155 1225 1421 1595 1617 1925 2175 2233 2695 3045 3675 4263 4785 4919 5075 5775 6699 7105 7975 8085 11165 13475 14757 15225 15631 21315 23925 24595 33495 34433 35525 40425 46893 54109 55825 73785 78155 103299 106575 122975 142651 162327 167475 172165 234465 241031 270545 368925 378763 390775 427953 516495 713255 723093 811635 860825 998557 1136289 1172325 1205155 1352725 1569161 1893815 2139765 2582475 2651341 2995671 3566275 3615465 4058175 4707483 4992785 5681445 6025775 6989899 7845805 7954023 9469075 10698825 10984127 13256705 14978355 18077325 20969697 23537415 24963925 28407225 32952381 34949495 39229025 39770115 54920635 66283525 74891775 76888889 104848485 117687075 164761905 174747475 198850575 230666667 274603175 384444445 524242425 823809525 1153333335 1922222225 5766666675