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282420895109328 = 243212730615045071
BaseRepresentation
bin100000000110111000011110…
…1001000010101000011010000
31101000222011200202201211120100
41000031300331020111003100
5244004140443121444303
62440354211302012400
7113326144026360303
oct10015607510250320
91330864622654510
10282420895109328
1181a96035656568
122781308a417100
13c178239c719c1
144da535c358b3a
15229b6379cc8a3
hex100dc3d2150d0

282420895109328 has 120 divisors (see below), whose sum is σ = 796870171774976. Its totient is φ = 93368505081600.

The previous prime is 282420895109267. The next prime is 282420895109341. The reversal of 282420895109328 is 823901598024282.

282420895109328 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 2 + 0 + 8 + 9 + 510 + 93 + 28 = 666.

It is a super-2 number, since 2×2824208951093282 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 53457033 + ... + 58502103.

Almost surely, 2282420895109328 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 282420895109328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398435085887488).

282420895109328 is an abundant number, since it is smaller than the sum of its proper divisors (514449276665648).

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

282420895109328 is a wasteful number, since it uses less digits than its factorization.

282420895109328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048273 (or 5048264 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 282420895109328 in words is "two hundred eighty-two trillion, four hundred twenty billion, eight hundred ninety-five million, one hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 3061 4572 6096 6122 9144 9183 12244 18288 18366 24488 27549 36732 48976 55098 73464 110196 146928 220392 388747 440784 777494 1166241 1554988 2332482 3109976 3498723 4664964 5045071 6219952 6997446 9329928 10090142 13994892 15135213 18659856 20180284 27989784 30270426 40360568 45405639 55979568 60540852 80721136 90811278 121081704 181622556 242163408 363245112 640724017 726490224 1281448034 1922172051 2562896068 3844344102 5125792136 5766516153 7688688204 10251584272 11533032306 15377376408 15442962331 23066064612 30754752816 30885924662 46132129224 46328886993 61771849324 92264258448 92657773986 123543698648 138986660979 185315547972 247087397296 277973321958 370631095944 555946643916 741262191888 1111893287832 1961256216037 2223786575664 3922512432074 5883768648111 7845024864148 11767537296222 15690049728296 17651305944333 23535074592444 31380099456592 35302611888666 47070149184888 70605223777332 94140298369776 141210447554664 282420895109328