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268485050556 = 22321725110511663
BaseRepresentation
bin1111101000001011110…
…1001100000010111100
3221200000011222201102100
43322002331030002330
513344324133104211
6323201302225100
725253211163302
oct3720275140274
9850004881370
10268485050556
11a39558a2338
124404b125190
131c41993bc28
14cdcd822272
156eb5a86156
hex3e82f4c0bc

268485050556 has 144 divisors (see below), whose sum is σ = 722575945728. Its totient is φ = 83764800000.

The previous prime is 268485050507. The next prime is 268485050567. The reversal of 268485050556 is 655050584862.

It is a happy number.

268485050556 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 85 + 0 + 5 + 0 + 556 = 666.

268485050556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161445381 + ... + 161447043.

It is an arithmetic number, because the mean of its divisors is an integer number (5017888512).

Almost surely, 2268485050556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268485050556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361287972864).

268485050556 is an abundant number, since it is smaller than the sum of its proper divisors (454090895172).

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

268485050556 is a wasteful number, since it uses less digits than its factorization.

268485050556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 268485050556 in words is "two hundred sixty-eight billion, four hundred eighty-five million, fifty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 251 306 502 612 753 1004 1051 1506 1663 2102 2259 3012 3153 3326 4204 4267 4518 4989 6306 6652 8534 9036 9459 9978 12612 12801 14967 17068 17867 18918 19956 25602 28271 29934 35734 37836 38403 51204 53601 56542 59868 71468 76806 84813 107202 113084 153612 160803 169626 214404 254439 263801 321606 339252 417413 508878 527602 643212 791403 834826 1017756 1055204 1252239 1582806 1669652 1747813 2374209 2504478 3165612 3495626 3756717 4484617 4748418 5008956 5243439 6991252 7096021 7513434 8969234 9496836 10486878 13453851 14192042 15026868 15730317 17938468 20973756 21288063 26907702 28384084 29712821 31460634 40361553 42576126 53815404 59425642 62921268 63864189 80723106 85152252 89138463 118851284 127728378 161446212 178276926 255456756 267415389 356553852 438701063 534830778 877402126 1069661556 1316103189 1754804252 2632206378 3948309567 5264412756 7457918071 7896619134 14915836142 15793238268 22373754213 29831672284 44747508426 67121262639 89495016852 134242525278 268485050556