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57432422423475 = 33521134572237491
BaseRepresentation
bin11010000111100000001110…
…01000110001101110110011
321112100111010021012101012000
431003300013020301232303
530011433100120022400
6322052031324105043
715045232652556321
oct1503600710615663
9245314107171160
1057432422423475
1117332a5421a430
126536956095183
132607b1488bba8
141027a5ba66d11
15698e38386600
hex343c07231bb3

57432422423475 has 96 divisors (see below), whose sum is σ = 115130240359680. Its totient is φ = 27837955584000.

The previous prime is 57432422423459. The next prime is 57432422423507.

57432422423475 is a `hidden beast` number, since 5 + 7 + 4 + 324 + 2 + 242 + 3 + 4 + 75 = 666.

57432422423475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57432422423475 - 24 = 57432422423459 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24549480 + ... + 26786970.

It is an arithmetic number, because the mean of its divisors is an integer number (1199273337080).

Almost surely, 257432422423475 is an apocalyptic number.

57432422423475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57432422423475 is an abundant number, since it is smaller than the sum of its proper divisors (57697817936205).

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

57432422423475 is a wasteful number, since it uses less digits than its factorization.

57432422423475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240978 (or 2240967 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

The spelling of 57432422423475 in words is "fifty-seven trillion, four hundred thirty-two billion, four hundred twenty-two million, four hundred twenty-three thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 3457 7425 10371 17285 31113 38027 51855 86425 93339 114081 155565 190135 259275 342243 466695 570405 777825 950675 1026729 1711215 2237491 2333475 2852025 5133645 6712473 8556075 11187455 20137419 24612401 25668225 33562365 55937275 60412257 73837203 100687095 123062005 167811825 221511609 302061285 369186015 503435475 615310025 664534827 1107558045 1510306425 1845930075 3322674135 5537790225 7735006387 16613370675 23205019161 38675031935 69615057483 85085070257 116025095805 193375159675 208845172449 255255210771 348075287415 425425351285 580125479025 765765632313 1044225862245 1276276053855 1740376437075 2127126756425 2297296896939 3828828161565 5221129311225 6381380269275 11486484484695 19144140807825 57432422423475