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2085656741120 = 28515461105389
BaseRepresentation
bin11110010110011010110…
…101000100010100000000
321101101110000010010222102
4132112122311010110000
5233132411111203440
64234045410125532
7303453342535211
oct36263265042400
97341400103872
102085656741120
11734581948227
1229826a2808a8
131218a45cc184
1472d36a03408
15393bcdccb15
hex1e59ad44500

2085656741120 has 72 divisors (see below), whose sum is σ = 4996170191880. Its totient is φ = 834200821760.

The previous prime is 2085656741087. The next prime is 2085656741131. The reversal of 2085656741120 is 211476565802.

It can be written as a sum of positive squares in 4 ways, for example, as 231615037696 + 1854041703424 = 481264^2 + 1361632^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19737386 + ... + 19842774.

It is an arithmetic number, because the mean of its divisors is an integer number (69391252665).

Almost surely, 22085656741120 is an apocalyptic number.

2085656741120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085656741120 is an abundant number, since it is smaller than the sum of its proper divisors (2910513450760).

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

2085656741120 is a wasteful number, since it uses less digits than its factorization.

2085656741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120871 (or 120857 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 2085656741120 in words is "two trillion, eighty-five billion, six hundred fifty-six million, seven hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 15461 30922 61844 77305 105389 123688 154610 210778 247376 309220 421556 494752 526945 618440 843112 989504 1053890 1236880 1686224 1979008 2107780 2473760 3372448 3958016 4215560 4947520 6744896 8431120 9895040 13489792 16862240 19790080 26979584 33724480 67448960 134897920 1629419329 3258838658 6517677316 8147096645 13035354632 16294193290 26070709264 32588386580 52141418528 65176773160 104282837056 130353546320 208565674112 260707092640 417131348224 521414185280 1042828370560 2085656741120