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57414109477275 = 325237137247720323
BaseRepresentation
bin11010000110111110000111…
…00110011011100110011011
321112021201212000011022200100
431003133003212123212123
530011133044011233100
6322035402222110443
715044014104234525
oct1503370346334633
9245251760138610
1057414109477275
1117326207020951
1265332a511b423
132606186879c55
141026c01856a15
156987157b3400
hex3437c399b99b

57414109477275 has 144 divisors (see below), whose sum is σ = 106433469009504. Its totient is φ = 29562403645440.

The previous prime is 57414109477183. The next prime is 57414109477301. The reversal of 57414109477275 is 57277490141475.

57414109477275 is a `hidden beast` number, since 5 + 7 + 41 + 410 + 9 + 47 + 72 + 75 = 666.

It is not a de Polignac number, because 57414109477275 - 27 = 57414109477147 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2825070264 + ... + 2825090586.

It is an arithmetic number, because the mean of its divisors is an integer number (739121312566).

Almost surely, 257414109477275 is an apocalyptic number.

57414109477275 is a deficient number, since it is larger than the sum of its proper divisors (49019359532229).

57414109477275 is a wasteful number, since it uses less digits than its factorization.

57414109477275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22990 (or 22982 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 57414109477275 in words is "fifty-seven trillion, four hundred fourteen billion, one hundred nine million, four hundred seventy-seven thousand, two hundred seventy-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 137 185 225 333 411 555 685 925 1233 1665 2055 2477 2775 3425 5069 6165 7431 8325 10275 12385 15207 20323 22293 25345 30825 37155 45621 60969 61925 76035 91649 101615 111465 126725 182907 185775 228105 274947 304845 339349 380175 458245 508075 557325 751951 824841 914535 1018047 1140525 1374735 1524225 1696745 2255853 2291225 2784251 3054141 3759755 4124205 4572675 5090235 6767559 6873675 8352753 8483725 11279265 12555913 13921255 15270705 18798775 20621025 25058259 25451175 33837795 37667739 41763765 50340071 56396325 62779565 69606275 76353525 103017287 113003217 125291295 151020213 169188975 188338695 208818825 251700355 309051861 313897825 453060639 515086435 565016085 626456475 755101065 927155583 941693475 1258501775 1545259305 1862582627 2265303195 2575432175 2825080425 3775505325 4635777915 5587747881 6896589727 7726296525 9312913135 11326515975 16763243643 20689769181 23178889575 27938739405 34482948635 46564565675 62069307543 83816218215 103448845905 139693697025 172414743175 255173819899 310346537715 419081091075 517244229525 765521459697 1275869099495 1551732688575 2296564379091 3827607298485 6379345497475 11482821895455 19138036492425 57414109477275