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255104312114435 = 57219417118825907
BaseRepresentation
bin111010000000010000011001…
…111001110111110100000011
31020110020201211010112220100012
4322000100121321313310003
5231414112112400130220
62302321145250015135
7104506451445116600
oct7200203171676403
91213221733486305
10255104312114435
11743141496a6433
1224740b11b774ab
13ac46305a57144
1446dd1865d36a7
151e75caded3ac5
hexe80419e77d03

255104312114435 has 96 divisors (see below), whose sum is σ = 389398093217280. Its totient is φ = 159402711283200.

The previous prime is 255104312114423. The next prime is 255104312114447. The reversal of 255104312114435 is 534411213401552.

It is an interprime number because it is at equal distance from previous prime (255104312114423) and next prime (255104312114447).

It is not a de Polignac number, because 255104312114435 - 26 = 255104312114371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 255104312114392 and 255104312114401.

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, 4137752 + ... + 22963658.

It is an arithmetic number, because the mean of its divisors is an integer number (4056230137680).

Almost surely, 2255104312114435 is an apocalyptic number.

255104312114435 is a deficient number, since it is larger than the sum of its proper divisors (134293781102845).

255104312114435 is a wasteful number, since it uses less digits than its factorization.

255104312114435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826057 (or 18826050 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

Adding to 255104312114435 its reverse (534411213401552), we get a palindrome (789515525515987).

The spelling of 255104312114435 in words is "two hundred fifty-five trillion, one hundred four billion, three hundred twelve million, one hundred fourteen thousand, four hundred thirty-five".

Divisors: 1 5 7 19 35 41 49 71 95 133 205 245 287 355 497 665 779 931 1349 1435 2009 2485 2911 3479 3895 4655 5453 6745 9443 10045 14555 17395 20377 27265 38171 47215 55309 66101 101885 142639 190855 276545 330505 387163 713195 1935815 2710141 13550705 18825907 94129535 131781349 357692233 658906745 771862187 922469443 1336639397 1788461165 2503845631 3859310935 4612347215 5403035309 6683196985 9356475779 12519228155 14665381553 17526919417 25396148543 27015176545 37821247163 46782378895 54802215277 65495330453 73326907765 87634597085 102657670871 126980742715 177773039801 189106235815 274011076385 327476652265 383615506939 513288354355 718603696097 888865199005 1041242090263 1244411278607 1918077534695 2685308548573 3593018480485 5206210451315 6222056393035 7288694631841 13426542742865 36443473159205 51020862422887 255104312114435