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20520610081024 = 2831291332
BaseRepresentation
bin1001010101001110100111…
…01011001010100100000000
32200122202021121011210222111
410222213103223022210000
510142202202140043044
6111351012122545104
74215364563502114
oct452472353124400
980582247153874
1020520610081024
1165a1818468449
122375046968194
13b5b115324711
1450d2ba7b5744
15258bc5094b34
hex12a9d3aca900

20520610081024 has 81 divisors (see below), whose sum is σ = 42329644269129. Its totient is φ = 9928240266240.

The previous prime is 20520610080983. The next prime is 20520610081031. The reversal of 20520610081024 is 42018001602502.

The square root of 20520610081024 is 4529968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16401204025600 + 4119406055424 = 4049840^2 + 2029632^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2246859562 + ... + 2246868694.

Almost surely, 220520610081024 is an apocalyptic number.

20520610081024 is the 4529968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20520610081024

20520610081024 is an abundant number, since it is smaller than the sum of its proper divisors (21809034188105).

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

20520610081024 is an frugal number, since it uses more digits than its factorization.

20520610081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18344 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 20520610081024 its reverse (42018001602502), we get a palindrome (62538611683526).

The spelling of 20520610081024 in words is "twenty trillion, five hundred twenty billion, six hundred ten million, eighty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 961 992 1922 1984 3844 3968 7688 7936 9133 15376 18266 30752 36532 61504 73064 123008 146128 246016 283123 292256 566246 584512 1132492 1169024 2264984 2338048 4529968 8776813 9059936 17553626 18119872 35107252 36239744 70214504 72479488 83411689 140429008 166823378 280858016 333646756 561716032 667293512 1123432064 1334587024 2246864128 2585762359 2669174048 5171524718 5338348096 10343049436 10676696192 20686098872 21353392384 41372197744 80158633129 82744395488 160317266258 165488790976 320634532516 330977581952 641269065032 661955163904 1282538130064 2565076260128 5130152520256 10260305040512 20520610081024