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20436180218048 = 267451211010981
BaseRepresentation
bin1001010010110001010110…
…10000110011000011000000
32200100200100112111101101102
410221120223100303003000
510134311244113434143
6111244130201553532
74206315411504110
oct451305320630300
980320315441342
1020436180218048
116569a31a65791
1223608034a58a8
13b5317b50210a
1450918b58b040
152568d2c3e0b8
hex12962b4330c0

20436180218048 has 56 divisors (see below), whose sum is σ = 46347410280864. Its totient is φ = 8758160179200.

The previous prime is 20436180218009. The next prime is 20436180218063. The reversal of 20436180218048 is 84081208163402.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 20436180217993 and 20436180218011.

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, 19708718 + ... + 20719698.

It is an arithmetic number, because the mean of its divisors is an integer number (827632326444).

Almost surely, 220436180218048 is an apocalyptic number.

20436180218048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20436180218048 is an abundant number, since it is smaller than the sum of its proper divisors (25911230062816).

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

20436180218048 is a wasteful number, since it uses less digits than its factorization.

20436180218048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056121 (or 1056111 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 20436180218048 in words is "twenty trillion, four hundred thirty-six billion, one hundred eighty million, two hundred eighteen thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 45121 90242 180484 315847 360968 631694 721936 1010981 1263388 1443872 2021962 2526776 2887744 4043924 5053552 7076867 8087848 10107104 14153734 16175696 20214208 28307468 32351392 56614936 64702784 113229872 226459744 452919488 45616473701 91232947402 182465894804 319315315907 364931789608 638630631814 729863579216 1277261263628 1459727158432 2554522527256 2919454316864 5109045054512 10218090109024 20436180218048