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20513144691009 = 342691049897469
BaseRepresentation
bin1001010101000000101101…
…01100111101100101000001
32200122001000022201201010000
410222200112230331211001
510142041410020103014
6111343335241430213
74215011563644465
oct452402654754501
980561008651100
1020513144691009
116599637446433
12237370279b369
13b5a4c5793a89
1450cbad1124a5
152588d999c509
hex12a816b3d941

20513144691009 has 40 divisors (see below), whose sum is σ = 30786362145000. Its totient is φ = 13611588427008.

The previous prime is 20513144690953. The next prime is 20513144691031. The reversal of 20513144691009 is 90019644131502.

20513144691009 is a `hidden beast` number, since 2 + 0 + 51 + 31 + 4 + 469 + 100 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3041605760400 + 17471538930609 = 1744020^2 + 4179897^2 .

It is not a de Polignac number, because 20513144691009 - 212 = 20513144686913 is a prime.

It is a super-2 number, since 2×205131446910092 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20513144691509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22407927 + ... + 23305395.

It is an arithmetic number, because the mean of its divisors is an integer number (769659053625).

Almost surely, 220513144691009 is an apocalyptic number.

It is an amenable number.

20513144691009 is a deficient number, since it is larger than the sum of its proper divisors (10273217453991).

20513144691009 is a wasteful number, since it uses less digits than its factorization.

20513144691009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898799 (or 898790 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20513144691009 in words is "twenty trillion, five hundred thirteen billion, one hundred forty-four million, six hundred ninety-one thousand, nine".

Divisors: 1 3 9 27 81 269 807 1049 2421 3147 7263 9441 21789 28323 84969 282181 846543 897469 2539629 2692407 7618887 8077221 22856661 24231663 72694989 241419161 724257483 941444981 2172772449 2824334943 6518317347 8473004829 19554952041 25419014487 76257043461 253248699889 759746099667 2279238299001 6837714897003 20513144691009