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255412333042425 = 325213611923774413
BaseRepresentation
bin111010000100101111010001…
…011000011101101011111001
31020111100011212122021021210100
4322010233101120131223321
5231434133424224324200
62303114450031310013
7104540634466605036
oct7204572130355371
91214304778237710
10255412333042425
1174422842464639
122479075567b309
13ac69383545790
144710046aca38d
151e7dcda923d00
hexe84bd161daf9

255412333042425 has 144 divisors (see below), whose sum is σ = 500771197199728. Its totient is φ = 123672029644800.

The previous prime is 255412333042417. The next prime is 255412333042499. The reversal of 255412333042425 is 524240333214552.

It is a happy number.

255412333042425 is a `hidden beast` number, since 2 + 5 + 54 + 1 + 23 + 330 + 4 + 242 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 254563716232809 + 848616809616 = 15955053^2 + 921204^2 .

It is not a de Polignac number, because 255412333042425 - 23 = 255412333042417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3432324519 + ... + 3432398931.

Almost surely, 2255412333042425 is an apocalyptic number.

255412333042425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

255412333042425 is a deficient number, since it is larger than the sum of its proper divisors (245358864157303).

255412333042425 is a wasteful number, since it uses less digits than its factorization.

255412333042425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93740 (or 93732 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 255412333042425 its reverse (524240333214552), we get a palindrome (779652666256977).

The spelling of 255412333042425 in words is "two hundred fifty-five trillion, four hundred twelve billion, three hundred thirty-three million, forty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 61 65 75 117 183 195 225 305 325 549 585 793 915 975 1525 2379 2745 2925 3965 4575 7137 11895 13725 19237 19825 35685 57711 59475 74413 96185 173133 178425 223239 250081 288555 372065 480925 669717 750243 865665 967369 1116195 1173457 1250405 1442775 1860325 2250729 2902107 3348585 3520371 3751215 4328325 4539193 4836845 5580975 5867285 6252025 8706321 10561113 11253645 13617579 14510535 15254941 16742925 17601855 18756075 22695965 24184225 29336425 40852737 43531605 45764823 52805565 56268225 59009509 68087895 72552675 76274705 88009275 113479825 137294469 177028527 204263685 217658025 228824115 264027825 295047545 340439475 381373525 531085581 686472345 885142635 1021318425 1144120575 1431482881 1475237725 2655427905 3432361725 4294448643 4425713175 7157414405 12883345929 13277139525 18609277453 21472243215 35787072025 55827832359 64416729645 87320455741 93046387265 107361216075 167483497077 261961367223 279139161795 322083648225 436602278705 465231936325 785884101669 837417485385 1135165924633 1309806836115 1395695808975 2183011393525 3405497773899 3929420508345 4187087426925 5675829623165 6549034180575 10216493321697 17027488869495 19647102541725 28379148115825 51082466608485 85137444347475 255412333042425