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46520520038113 = 112857448619729
BaseRepresentation
bin10101001001111011001110…
…00100100101011011100001
320002201022121000202012212211
422210331213010211123201
522044143011112204423
6242535122030122121
712540665565633352
oct1244754704453341
9202638530665784
1046520520038113
1113906272857300
125273ba4050341
131cc5b350cc8c4
14b6b8688a3d29
1555a18b02910d
hex2a4f671256e1

46520520038113 has 12 divisors (see below), whose sum is σ = 51193791869220. Its totient is φ = 42242033588480.

The previous prime is 46520520038071. The next prime is 46520520038117. The reversal of 46520520038113 is 31183002502564.

46520520038113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25733786831104 + 20786733207009 = 5072848^2 + 4559247^2 .

It is not a de Polignac number, because 46520520038113 - 29 = 46520520037601 is a prime.

It is a super-3 number, since 3×465205200381133 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46520520038117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 224206168 + ... + 224413561.

It is an arithmetic number, because the mean of its divisors is an integer number (4266149322435).

Almost surely, 246520520038113 is an apocalyptic number.

It is an amenable number.

46520520038113 is a deficient number, since it is larger than the sum of its proper divisors (4673271831107).

46520520038113 is a wasteful number, since it uses less digits than its factorization.

46520520038113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448620608 (or 448620597 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 46520520038113 in words is "forty-six trillion, five hundred twenty billion, five hundred twenty million, thirty-eight thousand, one hundred thirteen".

Divisors: 1 11 121 857 9427 103697 448619729 4934817019 54282987209 384467107753 4229138185283 46520520038113