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5606704312608 = 253725011237857
BaseRepresentation
bin101000110010110100110…
…0111100111000100100000
3201211222212212022112211210
41101211221213213010200
51213330012301000413
615531403455310120
71116033234221100
oct121455147470440
921758785275753
105606704312608
111871876466383
12766749b1b340
1331892c9a9849
1415551a1b7200
159ac9ae4c3c3
hex519699e7120

5606704312608 has 144 divisors (see below), whose sum is σ = 17123960667744. Its totient is φ = 1601589104640.

The previous prime is 5606704312577. The next prime is 5606704312621. The reversal of 5606704312608 is 8062134076065.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 23452816 + ... + 23690672.

It is an arithmetic number, because the mean of its divisors is an integer number (118916393526).

Almost surely, 25606704312608 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 5606704312608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561980333872).

5606704312608 is an abundant number, since it is smaller than the sum of its proper divisors (11517256355136).

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

5606704312608 is a wasteful number, since it uses less digits than its factorization.

5606704312608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242895 (or 242880 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 5606704312608 in words is "five trillion, six hundred six billion, seven hundred four million, three hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 5011 10022 15033 20044 30066 35077 40088 60132 70154 80176 105231 120264 140308 160352 210462 237857 240528 245539 280616 420924 475714 481056 491078 561232 713571 736617 841848 951428 982156 1122464 1427142 1473234 1664999 1683696 1902856 1964312 2854284 2946468 3329998 3367392 3805712 3928624 4994997 5708568 5892936 6659996 7611424 7857248 9989994 11417136 11654993 11785872 13319992 19979988 22834272 23309986 23571744 26639984 34964979 39959976 46619972 53279968 69929958 79919952 93239944 139859916 159839904 186479888 279719832 372959776 559439664 1118879328 1191901427 2383802854 3575704281 4767605708 7151408562 8343309989 9535211416 14302817124 16686619978 19070422832 25029929967 28605634248 33373239956 38140845664 50059859934 57211268496 58403169923 66746479912 100119719868 114422536992 116806339846 133492959824 175209509769 200239439736 233612679692 266985919648 350419019538 400478879472 467225359384 700838039076 800957758944 934450718768 1401676078152 1868901437536 2803352156304 5606704312608