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256275800550 = 232527117396127
BaseRepresentation
bin1110111010101100111…
…0100110000111100110
3220111111022010120000200
43232223032212013212
513144323101104200
6313421555451330
724341516235240
oct3565316460746
9814438116020
10256275800550
1199760010080
12418022b6b46
131b222331a43
14c5920d5090
1569edc80800
hex3bab3a61e6

256275800550 has 144 divisors (see below), whose sum is σ = 858424200192. Its totient is φ = 53252107200.

The previous prime is 256275800527. The next prime is 256275800563. The reversal of 256275800550 is 55008572652.

256275800550 is a `hidden beast` number, since 2 + 5 + 62 + 7 + 580 + 0 + 5 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 256275800496 and 256275800505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3663414 + ... + 3732713.

It is an arithmetic number, because the mean of its divisors is an integer number (5961279168).

Almost surely, 2256275800550 is an apocalyptic number.

256275800550 is an abundant number, since it is smaller than the sum of its proper divisors (602148399642).

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

256275800550 is a wasteful number, since it uses less digits than its factorization.

256275800550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396163 (or 7396155 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 256275800550 in words is "two hundred fifty-six billion, two hundred seventy-five million, eight hundred thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 6930 11550 17325 34650 7396127 14792254 22188381 36980635 44376762 51772889 66565143 73961270 81357397 103545778 110941905 133130286 155318667 162714794 184903175 221883810 244072191 258864445 310637334 332825715 369806350 406786985 465956001 488144382 517728890 554709525 569501779 665651430 732216573 776593335 813573970 931912002 1109419050 1139003558 1220360955 1294322225 1464433146 1553186670 1664128575 1708505337 2033934925 2329780005 2440721910 2588644450 2847508895 3328257150 3417010674 3661082865 3882966675 4067869850 4659560010 5125516011 5695017790 6101804775 7322165730 7765933350 8542526685 10251032022 11648900025 12203609550 14237544475 17085053370 18305414325 23297800050 25627580055 28475088950 36610828650 42712633425 51255160110 85425266850 128137900275 256275800550