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56285018928 = 24322327536173
BaseRepresentation
bin110100011010110110…
…010011101100110000
312101021121012012202200
4310122312103230300
51410232431101203
641505035143200
74031536524045
oct643266235460
9171247165680
1056285018928
1121963475876
12aaa98a4b00
1353ccbbc738
142a1d3331cc
1516e652c9a3
hexd1ad93b30

56285018928 has 120 divisors (see below), whose sum is σ = 164454911712. Its totient is φ = 17936523264.

The previous prime is 56285018879. The next prime is 56285018941. The reversal of 56285018928 is 82981058265.

It is a happy number.

56285018928 is a `hidden beast` number, since 5 + 628 + 5 + 0 + 1 + 8 + 9 + 2 + 8 = 666.

56285018928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×562850189283 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9114850 + ... + 9121022.

Almost surely, 256285018928 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 56285018928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82227455856).

56285018928 is an abundant number, since it is smaller than the sum of its proper divisors (108169892784).

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

56285018928 is a wasteful number, since it uses less digits than its factorization.

56285018928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 56285018928 in words is "fifty-six billion, two hundred eighty-five million, eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2753 3312 5506 6173 8259 11012 12346 16518 18519 22024 24692 24777 33036 37038 44048 49384 49554 55557 63319 66072 74076 98768 99108 111114 126638 132144 141979 148152 189957 198216 222228 253276 283958 296304 379914 396432 425937 444456 506552 567916 569871 759828 851874 888912 1013104 1135832 1139742 1277811 1519656 1703748 2271664 2279484 2555622 3039312 3407496 4558968 5111244 6814992 9117936 10222488 16994269 20444976 33988538 50982807 67977076 101965614 135954152 152948421 203931228 271908304 305896842 390868187 407862456 611793684 781736374 815724912 1172604561 1223587368 1563472748 2345209122 2447174736 3126945496 3517813683 4690418244 6253890992 7035627366 9380836488 14071254732 18761672976 28142509464 56285018928