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21542988141 = 322393665349
BaseRepresentation
bin10100000100000011…
…111110100101101101
32001121100221012001200
4110010003332211231
5323110001110031
613521405000113
71361566243413
oct240403764555
961540835050
1021542988141
119155500934
124212853039
13205426b87c
1410851b92b3
158614578e6
hex5040fe96d

21542988141 has 6 divisors (see below), whose sum is σ = 31117649550. Its totient is φ = 14361992088.

The previous prime is 21542988127. The next prime is 21542988163. The reversal of 21542988141 is 14188924512.

21542988141 is a `hidden beast` number, since 2 + 1 + 5 + 429 + 88 + 141 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21263764041 + 279224100 = 145821^2 + 16710^2 .

It is not a de Polignac number, because 21542988141 - 25 = 21542988109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21542988191) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1196832666 + ... + 1196832683.

It is an arithmetic number, because the mean of its divisors is an integer number (5186274925).

Almost surely, 221542988141 is an apocalyptic number.

It is an amenable number.

21542988141 is a deficient number, since it is larger than the sum of its proper divisors (9574661409).

21542988141 is a wasteful number, since it uses less digits than its factorization.

21542988141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393665355 (or 2393665352 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 21542988141 in words is "twenty-one billion, five hundred forty-two million, nine hundred eighty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 2393665349 7180996047 21542988141