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424461248568 = 23347891051417
BaseRepresentation
bin1100010110100111101…
…11001010100000111000
31111120121102201112210000
412023103313022200320
523423244034423233
6522554513353000
742444355040340
oct6132367124070
91446542645700
10424461248568
11154016344505
126a31b268760
1331046372316
1416788b87d20
15b09414ad13
hex62d3dca838

424461248568 has 160 divisors (see below), whose sum is σ = 1373993042400. Its totient is φ = 119911891968.

The previous prime is 424461248557. The next prime is 424461248581. The reversal of 424461248568 is 865842164424.

424461248568 is a `hidden beast` number, since 4 + 2 + 44 + 61 + 2 + 485 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122005 + ... + 929412.

It is an arithmetic number, because the mean of its divisors is an integer number (8587456515).

Almost surely, 2424461248568 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 424461248568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686996521200).

424461248568 is an abundant number, since it is smaller than the sum of its proper divisors (949531793832).

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

424461248568 is a wasteful number, since it uses less digits than its factorization.

424461248568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051531 (or 1051518 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 424461248568 in words is "four hundred twenty-four billion, four hundred sixty-one million, two hundred forty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 89 108 126 162 168 178 189 216 252 267 324 356 378 504 534 567 623 648 712 756 801 1068 1134 1246 1512 1602 1869 2136 2268 2403 2492 3204 3738 4536 4806 4984 5607 6408 7209 7476 9612 11214 14418 14952 16821 19224 22428 28836 33642 44856 50463 57672 67284 100926 134568 201852 403704 1051417 2102834 3154251 4205668 6308502 7359919 8411336 9462753 12617004 14719838 18925506 22079757 25234008 28388259 29439676 37851012 44159514 56776518 58879352 66239271 75702024 85164777 88319028 93576113 113553036 132478542 170329554 176638056 187152226 198717813 227106072 264957084 280728339 340659108 374304452 397435626 529914168 561456678 596153439 655032791 681318216 748608904 794871252 842185017 1122913356 1192306878 1310065582 1589742504 1684370034 1965098373 2245826712 2384613756 2526555051 2620131164 3368740068 3930196746 4769227512 5053110102 5240262328 5895295119 6737480136 7579665153 7860393492 10106220204 11790590238 15159330306 15720786984 17685885357 20212440408 23581180476 30318660612 35371770714 47162360952 53057656071 60637321224 70743541428 106115312142 141487082856 212230624284 424461248568