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81866051568 = 24337251107857
BaseRepresentation
bin100110000111110011…
…0001100111111110000
321211022101102022112000
41030033212030333300
52320130202122233
6101335253334000
75625500646120
oct1141746147760
9254271368460
1081866051568
11317a0285264
1213a48937300
137948910442
143d68926c80
1521e2222d13
hex130f98cff0

81866051568 has 160 divisors (see below), whose sum is σ = 269627742720. Its totient is φ = 23296896000.

The previous prime is 81866051557. The next prime is 81866051587. The reversal of 81866051568 is 86515066818.

81866051568 is a `hidden beast` number, since 8 + 1 + 8 + 6 + 60 + 515 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705096 + ... + 812952.

It is an arithmetic number, because the mean of its divisors is an integer number (1685173392).

Almost surely, 281866051568 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 81866051568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134813871360).

81866051568 is an abundant number, since it is smaller than the sum of its proper divisors (187761691152).

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

81866051568 is a wasteful number, since it uses less digits than its factorization.

81866051568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108132 (or 108120 counting only the distinct ones).

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

The spelling of 81866051568 in words is "eighty-one billion, eight hundred sixty-six million, fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 251 252 336 378 432 502 504 753 756 1004 1008 1506 1512 1757 2008 2259 3012 3024 3514 4016 4518 5271 6024 6777 7028 9036 10542 12048 13554 14056 15813 18072 21084 27108 28112 31626 36144 42168 47439 54216 63252 84336 94878 107857 108432 126504 189756 215714 253008 323571 379512 431428 647142 754999 759024 862856 970713 1294284 1509998 1725712 1941426 2264997 2588568 2912139 3019996 3882852 4529994 5177136 5824278 6039992 6794991 7765704 9059988 11648556 12079984 13589982 15531408 18119976 20384973 23297112 27072107 27179964 36239952 40769946 46594224 54144214 54359928 81216321 81539892 108288428 108719856 162432642 163079784 189504749 216576856 243648963 324865284 326159568 379009498 433153712 487297926 568514247 649730568 730946889 758018996 974595852 1137028494 1299461136 1461893778 1516037992 1705542741 1949191704 2274056988 2923787556 3032075984 3411085482 3898383408 4548113976 5116628223 5847575112 6822170964 9096227952 10233256446 11695150224 13644341928 20466512892 27288683856 40933025784 81866051568