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2163505135005 = 33529219055843
BaseRepresentation
bin11111011110111010111…
…101000111110110011101
321122211101101121022021000
4133132322331013312131
5240421324303310010
64333522303300513
7312210450135534
oct37367275076635
97584341538230
102163505135005
117645a0278835
122ab3755aa739
1312902ca47976
14769ddadb31b
153b42753d7c0
hex1f7baf47d9d

2163505135005 has 48 divisors (see below), whose sum is σ = 3983433629760. Its totient is φ = 1114080746688.

The previous prime is 2163505134887. The next prime is 2163505135039. The reversal of 2163505135005 is 5005315053612.

2163505135005 is a `hidden beast` number, since 2 + 1 + 635 + 0 + 5 + 13 + 5 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 2163505135005 - 213 = 2163505126813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9414387 + ... + 9641456.

It is an arithmetic number, because the mean of its divisors is an integer number (82988200620).

Almost surely, 22163505135005 is an apocalyptic number.

It is an amenable number.

2163505135005 is a deficient number, since it is larger than the sum of its proper divisors (1819928494755).

2163505135005 is a wasteful number, since it uses less digits than its factorization.

2163505135005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19055915 (or 19055880 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 2163505135005 in words is "two trillion, one hundred sixty-three billion, five hundred five million, one hundred thirty-five thousand, five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 841 1305 2523 3915 4205 7569 12615 22707 37845 113535 19055843 57167529 95279215 171502587 285837645 514507761 552619447 857512935 1657858341 2572538805 2763097235 4973575023 8289291705 14920725069 16025963963 24867875115 48077891889 74603625345 80129819815 144233675667 240389459445 432701027001 721168378335 2163505135005