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2038559525808 = 2431317467411503
BaseRepresentation
bin11101101010100011100…
…111011100101110110000
321012212212201101201100120
4131222203213130232300
5231344432214311213
64200300141250240
7300165256031451
oct35524347345660
97185781351316
102038559525808
11716603786293
1228b105563980
1311a30a066830
1470949a11128
15380632c7423
hex1daa39dcbb0

2038559525808 has 160 divisors (see below), whose sum is σ = 6017860832256. Its totient is φ = 589086511104.

The previous prime is 2038559525741. The next prime is 2038559525819. The reversal of 2038559525808 is 8085259558302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4748185 + ... + 5159687.

Almost surely, 22038559525808 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 2038559525808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008930416128).

2038559525808 is an abundant number, since it is smaller than the sum of its proper divisors (3979301306448).

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

2038559525808 is a wasteful number, since it uses less digits than its factorization.

2038559525808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412011 (or 412005 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 60.

The spelling of 2038559525808 in words is "two trillion, thirty-eight billion, five hundred fifty-nine million, five hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 467 624 663 816 884 934 1326 1401 1768 1868 2652 2802 3536 3736 5304 5604 6071 7472 7939 10608 11208 12142 15878 18213 22416 23817 24284 31756 36426 47634 48568 63512 72852 95268 97136 103207 127024 145704 190536 206414 291408 309621 381072 411503 412828 619242 823006 825656 1234509 1238484 1646012 1651312 2469018 2476968 3292024 4938036 4953936 5349539 6584048 6995551 9876072 10699078 13991102 16048617 19752144 20986653 21398156 27982204 32097234 41973306 42796312 55964408 64194468 83946612 85592624 90942163 111928816 128388936 167893224 181884326 192171901 256777872 272826489 335786448 363768652 384343802 545652978 576515703 727537304 768687604 1091305956 1153031406 1455074608 1537375208 2182611912 2306062812 2498234713 3074750416 3266922317 4365223824 4612125624 4996469426 6533844634 7494704139 9224251248 9800766951 9992938852 13067689268 14989408278 19601533902 19985877704 26135378536 29978816556 39203067804 39971755408 42469990121 52270757072 59957633112 78406135608 84939980242 119915266224 127409970363 156812271216 169879960484 254819940726 339759920968 509639881452 679519841936 1019279762904 2038559525808