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21355466424171 = 31126119921532251
BaseRepresentation
bin1001101101100001101001…
…11111010111111101101011
32210121120012011200020202020
410312300310333113331223
510244341443401033141
6113230322115435523
74332611236356615
oct466606477277553
983546164606666
1021355466424171
116893891073700
12248a9ba5b5ba3
13bbba728070b9
1453b87812ddb5
152707884dc266
hex136c34fd7f6b

21355466424171 has 96 divisors (see below), whose sum is σ = 31999810214400. Its totient is φ = 12655051200000.

The previous prime is 21355466424157. The next prime is 21355466424179. The reversal of 21355466424171 is 17142466455312.

It is a happy number.

It is not a de Polignac number, because 21355466424171 - 25 = 21355466424139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21355466424179) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9487100796 + ... + 9487103046.

It is an arithmetic number, because the mean of its divisors is an integer number (333331356400).

Almost surely, 221355466424171 is an apocalyptic number.

21355466424171 is a deficient number, since it is larger than the sum of its proper divisors (10644343790229).

21355466424171 is a wasteful number, since it uses less digits than its factorization.

21355466424171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4678 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The spelling of 21355466424171 in words is "twenty-one trillion, three hundred fifty-five billion, four hundred sixty-six million, four hundred twenty-four thousand, one hundred seventy-one".

Divisors: 1 3 11 33 61 121 183 199 363 597 671 2013 2153 2189 2251 6459 6567 6753 7381 12139 22143 23683 24079 24761 36417 71049 72237 74283 131333 133529 137311 260513 272371 393999 400587 411933 428447 447949 781539 817113 1285341 1343847 1444663 1468819 1510421 4333989 4406457 4531263 4712917 4846403 4927439 14138751 14539209 14782317 15891293 16614631 26135267 27324889 47673879 49843893 51842087 53310433 54201829 78405801 81974667 155526261 159931299 162605487 287487937 295630583 300573779 586414763 862463811 886891749 901721337 964434197 1759244289 2893302591 3162367307 3251936413 3306311569 9487101921 9755809239 9918934707 10608776167 31826328501 35771300543 58830486017 107313901629 116696537837 176491458051 350089613511 647135346187 1941406038561 7118488808057 21355466424171