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57042588524075 = 52721123296346651
BaseRepresentation
bin11001111100001010000110…
…01110011101111000101011
321110222012220001221102111122
430332011003032131320223
524434041210130232300
6321153000422445455
715005122343235500
oct1476050316357053
9243865801842448
1057042588524075
11171a2698140970
12649329b59388b
1325aa1294864bb
141012c39b034a7
1568dc1e20ac85
hex33e14339de2b

57042588524075 has 144 divisors (see below), whose sum is σ = 96893574485760. Its totient is φ = 32840105760000.

The previous prime is 57042588524071. The next prime is 57042588524081.

57042588524075 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57042588524075 - 22 = 57042588524071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57042588523999 and 57042588524017.

It is not an unprimeable number, because it can be changed into a prime (57042588524071) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5814500 + ... + 12161150.

It is an arithmetic number, because the mean of its divisors is an integer number (672872045040).

Almost surely, 257042588524075 is an apocalyptic number.

57042588524075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57042588524075 is a deficient number, since it is larger than the sum of its proper divisors (39850985961685).

57042588524075 is a wasteful number, since it uses less digits than its factorization.

57042588524075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346738 (or 6346726 counting only the distinct ones).

The product of its (nonzero) digits is 125440000, while the sum is 62.

The spelling of 57042588524075 in words is "fifty-seven trillion, forty-two billion, five hundred eighty-eight million, five hundred twenty-four thousand, seventy-five".

Divisors: 1 5 7 11 23 25 29 35 49 55 77 115 145 161 175 203 245 253 275 319 385 539 575 667 725 805 1015 1127 1225 1265 1421 1595 1771 1925 2233 2695 3335 4025 4669 5075 5635 6325 7105 7337 7975 8855 11165 12397 13475 15631 16675 23345 28175 32683 35525 36685 44275 51359 55825 61985 78155 116725 163415 183425 256795 309925 359513 390775 817075 1283975 1797565 6346651 8987825 31733255 44426557 69813161 145972973 158666275 184052879 222132785 310985899 349065805 488692127 729864865 920264395 1021810811 1110663925 1288370153 1554929495 1605702703 1745329025 2024581669 2443460635 3420844889 3649324325 4233216217 4601321975 5109054055 6441850765 7152675677 7774647475 8028513515 9018591071 10122908345 11239918921 12217303175 14172071683 17104224445 21166081085 25545270275 29632513519 32209253825 35763378385 40142567575 45092955355 46565378387 50614541725 56199594605 70860358415 78679432447 85521122225 99204501781 105830405425 148162567595 178816891925 207427594633 225464776775 232826891935 280997973025 325957648709 354301792075 393397162235 496022508905 740812837975 1037137973165 1164134459675 1629788243545 1966985811175 2281703540963 2480112544525 5185689865825 8148941217725 11408517704815 57042588524075