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54922864860 = 2235526714231
BaseRepresentation
bin110011001001101010…
…000110100011011100
312020202200001121200000
4303021222012203130
51344440223133420
641121535334300
73653016435303
oct631152064334
9166680047600
1054922864860
1121324586306
12a789681390
135243932206
14293047343a
151666b61690
hexcc9a868dc

54922864860 has 144 divisors (see below), whose sum is σ = 172875236352. Its totient is φ = 14637153600.

The previous prime is 54922864859. The next prime is 54922864873. The reversal of 54922864860 is 6846822945.

54922864860 is a `hidden beast` number, since 54 + 92 + 28 + 6 + 486 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54922864797 and 54922864806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12978945 + ... + 12983175.

Almost surely, 254922864860 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 54922864860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86437618176).

54922864860 is an abundant number, since it is smaller than the sum of its proper divisors (117952371492).

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

54922864860 is a wasteful number, since it uses less digits than its factorization.

54922864860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 54922864860 in words is "fifty-four billion, nine hundred twenty-two million, eight hundred sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2671 4231 4860 5342 8013 8462 10684 12693 13355 16026 16924 21155 24039 25386 26710 32052 38079 40065 42310 48078 50772 53420 63465 72117 76158 80130 84620 96156 114237 120195 126930 144234 152316 160260 190395 216351 228474 240390 253860 288468 342711 360585 380790 432702 456948 480780 571185 649053 685422 721170 761580 865404 1028133 1081755 1142370 1298106 1370844 1442340 1713555 2056266 2163510 2284740 2596212 3245265 3427110 4112532 4327020 5140665 6490530 6854220 10281330 11301001 12981060 20562660 22602002 33903003 45204004 56505005 67806006 101709009 113010010 135612012 169515015 203418018 226020020 305127027 339030030 406836036 508545045 610254054 678060060 915381081 1017090090 1220508108 1525635135 1830762162 2034180180 2746143243 3051270270 3661524324 4576905405 5492286486 6102540540 9153810810 10984572972 13730716215 18307621620 27461432430 54922864860