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4282709883444 = 223531683208099
BaseRepresentation
bin111110010100100101011…
…001101011101000110100
3120011102102102012210200000
4332110211121223220310
51030131442212232234
613035241051551300
7621262354240416
oct76244531535064
916142372183600
104282709883444
111401318096443
12592026a5b530
13250b1c7b6935
1410b3da0429b6
157660a786899
hex3e52566ba34

4282709883444 has 144 divisors (see below), whose sum is σ = 11605866854400. Its totient is φ = 1379489965920.

The previous prime is 4282709883433. The next prime is 4282709883467. The reversal of 4282709883444 is 4443889072824.

4282709883444 is a `hidden beast` number, since 4 + 2 + 8 + 27 + 0 + 98 + 83 + 444 = 666.

It is a super-2 number, since 2×42827098834442 (a number of 26 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 47 ways as a sum of consecutive naturals, for example, 20476107 + ... + 20684205.

It is an arithmetic number, because the mean of its divisors is an integer number (80596297600).

Almost surely, 24282709883444 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 4282709883444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802933427200).

4282709883444 is an abundant number, since it is smaller than the sum of its proper divisors (7323156970956).

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

4282709883444 is a wasteful number, since it uses less digits than its factorization.

4282709883444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208832 (or 208818 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 4282709883444 in words is "four trillion, two hundred eighty-two billion, seven hundred nine million, eight hundred eighty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 683 837 972 1116 1366 1674 2049 2511 2732 3348 4098 5022 6147 7533 8196 10044 12294 15066 18441 21173 24588 30132 36882 42346 55323 63519 73764 84692 110646 127038 165969 190557 208099 221292 254076 331938 381114 416198 571671 624297 663876 762228 832396 1143342 1248594 1715013 1872891 2286684 2497188 3430026 3745782 5145039 5618673 6451069 6860052 7491564 10290078 11237346 12902138 16856019 19353207 20580156 22474692 25804276 33712038 38706414 50568057 58059621 67424076 77412828 101136114 116119242 142131617 174178863 202272228 232238484 284263234 348357726 426394851 522536589 568526468 696715452 852789702 1045073178 1279184553 1567609767 1705579404 2090146356 2558369106 3135219534 3837553659 4406080127 5116738212 6270439068 7675107318 8812160254 11512660977 13218240381 15350214636 17624320508 23025321954 26436480762 34537982931 39654721143 46050643908 52872961524 69075965862 79309442286 118964163429 138151931724 158618884572 237928326858 356892490287 475856653716 713784980574 1070677470861 1427569961148 2141354941722 4282709883444