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560056990068 = 223523153116363
BaseRepresentation
bin10000010011001011111…
…11110111100101110100
31222112121100000220200000
420021211333313211310
533133444042140233
61105141524551300
755314506604012
oct10114577674564
91875540026600
10560056990068
111a657862aa94
1290661b52530
1340a7563cba4
141d16d4ad8b2
15e87d391d13
hex8265ff7974

560056990068 has 144 divisors (see below), whose sum is σ = 1533059114496. Its totient is φ = 178441354080.

The previous prime is 560056990043. The next prime is 560056990121. The reversal of 560056990068 is 860099650065.

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 = 560056989996 and 560056990023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34218855 + ... + 34235217.

Almost surely, 2560056990068 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 560056990068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766529557248).

560056990068 is an abundant number, since it is smaller than the sum of its proper divisors (973002124428).

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

560056990068 is a wasteful number, since it uses less digits than its factorization.

560056990068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17936 (or 17922 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 560056990068 in words is "five hundred sixty billion, fifty-six million, nine hundred ninety thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1531 1863 2484 3062 3726 4593 5589 6124 7452 9186 11178 13779 16363 18372 22356 27558 32726 35213 41337 49089 55116 65452 70426 82674 98178 105639 124011 140852 147267 165348 196356 211278 248022 294534 316917 372033 376349 422556 441801 496044 589068 633834 744066 752698 883602 950751 1129047 1267668 1325403 1488132 1505396 1767204 1901502 2258094 2650806 2852253 3387141 3803004 3976209 4516188 5301612 5704506 6774282 7952418 8556759 10161423 11409012 13548564 15904836 17113518 20322846 25051753 30484269 34227036 40645692 50103506 60968538 75155259 91452807 100207012 121937076 150310518 182905614 225465777 300621036 365811228 450931554 576190319 676397331 901863108 1152380638 1352794662 1728570957 2029191993 2304761276 2705589324 3457141914 4058383986 5185712871 6087575979 6914283828 8116767972 10371425742 12175151958 15557138613 20742851484 24350303916 31114277226 46671415839 62228554452 93342831678 140014247517 186685663356 280028495034 560056990068