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166052143314135 = 335131311547346679
BaseRepresentation
bin100101110000011000000111…
…000001000011010011010111
3210202221102121101002102001000
4211300120013001003103113
5133231044242142023020
61345055145044234343
746655604623512161
oct4560300701032327
9722842541072030
10166052143314135
1148a00355a26381
121675a02699b9b3
13718685ab68c50
142d00d7658b931
15142e5e5e21090
hex9706070434d7

166052143314135 has 128 divisors (see below), whose sum is σ = 320366169446400. Its totient is φ = 81117730437120.

The previous prime is 166052143314019. The next prime is 166052143314137. The reversal of 166052143314135 is 531413341250661.

166052143314135 is a `hidden beast` number, since 1 + 6 + 60 + 5 + 2 + 143 + 31 + 413 + 5 = 666.

It is not a de Polignac number, because 166052143314135 - 27 = 166052143314007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166052143314137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3557296726 + ... + 3557343404.

It is an arithmetic number, because the mean of its divisors is an integer number (2502860698800).

Almost surely, 2166052143314135 is an apocalyptic number.

166052143314135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

166052143314135 is a deficient number, since it is larger than the sum of its proper divisors (154314026132265).

166052143314135 is a wasteful number, since it uses less digits than its factorization.

166052143314135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62310 (or 62304 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 166052143314135 its reverse (531413341250661), we get a palindrome (697465484564796).

The spelling of 166052143314135 in words is "one hundred sixty-six trillion, fifty-two billion, one hundred forty-three million, three hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 131 135 195 351 393 585 655 1179 1703 1755 1965 3537 5109 5895 8515 15327 15473 17685 25545 45981 46419 46679 76635 77365 139257 140037 201149 229905 232095 233395 417771 420111 603447 606827 696285 700185 1005745 1260333 1810341 1820481 2026963 2088855 2100555 3017235 3034135 5431023 5461443 6080889 6114949 6301665 9051705 9102405 10134815 16384329 18242667 18344847 26350519 27155115 27307215 30404445 30574745 54728001 55034541 79051557 79494337 81921645 91213335 91724235 131752595 165103623 237154671 238483011 273640005 275172705 395257785 397471685 711464013 715449033 722264167 825518115 1185773355 1192415055 2146347099 2166792501 3557320065 3577245165 3611320835 6500377503 9389434171 10731735495 10833962505 19501132509 28168302513 32501887515 46947170855 84504907539 94616605877 97505662545 140841512565 253514722617 283849817631 422524537695 473083029385 851549452893 1230015876401 1267573613085 1419249088155 2554648358679 3690047629203 4257747264465 6150079382005 11070142887609 12773241793395 18450238146015 33210428662827 55350714438045 166052143314135