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81442050871824 = 24331944071225143
BaseRepresentation
bin10010100001001000110100…
…100000110001001000010000
3101200100210011112222102212000
4102201020310200301020100
541133321310010344244
6445113543415234000
723103664641231336
oct2241106440611020
9350323145872760
1081442050871824
1123a4a41a588865
129174022078900
133659c4c697b66
141617b5dca9b56
15963764641169
hex4a1234831210

81442050871824 has 160 divisors (see below), whose sum is σ = 246079149926400. Its totient is φ = 25717844580480.

The previous prime is 81442050871807. The next prime is 81442050871871. The reversal of 81442050871824 is 42817805024418.

81442050871824 is a `hidden beast` number, since 8 + 1 + 4 + 42 + 0 + 508 + 71 + 8 + 24 = 666.

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

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, 361622197 + ... + 361847339.

It is an arithmetic number, because the mean of its divisors is an integer number (1537994687040).

Almost surely, 281442050871824 is an apocalyptic number.

It is an amenable number.

81442050871824 is an abundant number, since it is smaller than the sum of its proper divisors (164637099054576).

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

81442050871824 is a wasteful number, since it uses less digits than its factorization.

81442050871824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269250 (or 269238 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 81442050871824 in words is "eighty-one trillion, four hundred forty-two billion, fifty million, eight hundred seventy-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 44071 88142 132213 176284 225143 264426 352568 396639 450286 528852 675429 705136 793278 837349 900572 1057704 1189917 1350858 1586556 1674698 1801144 2026287 2115408 2379834 2512047 2701716 3173112 3349396 3602288 4052574 4277717 4759668 5024094 5403432 6078861 6346224 6698792 7536141 8105148 8555434 9519336 10048188 10806864 12157722 12833151 13397584 15072282 16210296 17110868 19038672 20096376 22608423 24315444 25666302 30144564 32420592 34221736 38499453 40192752 45216846 48630888 51332604 60289128 68443472 76998906 90433692 97261776 102665208 115498359 120578256 153997812 180867384 205330416 230996718 307995624 361734768 461993436 615991248 923986872 1847973744 9922277153 19844554306 29766831459 39689108612 59533662918 79378217224 89300494377 119067325836 158756434448 178600988754 188523265907 238134651672 267901483131 357201977508 377046531814 476269303344 535802966262 565569797721 714403955016 754093063628 1071605932524 1131139595442 1428807910032 1508186127256 1696709393163 2143211865048 2262279190884 3016372254512 3393418786326 4286423730096 4524558381768 5090128179489 6786837572652 9049116763536 10180256358978 13573675145304 20360512717956 27147350290608 40721025435912 81442050871824