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3469885994169 = 327210728292
BaseRepresentation
bin110010011111100101010…
…100100111010010111001
3110021201101022122222201100
4302133211110213102321
5423322311303303134
611214013231042013
7505456003210200
oct62374524472271
913251338588640
103469885994169
111118630202951
124805a1970309
131c2293aaa0ca
14bdd2c8b6237
15603d672d999
hex327e55274b9

3469885994169 has 81 divisors (see below), whose sum is σ = 5892459081327. Its totient is φ = 1961891795808.

The previous prime is 3469885994167. The next prime is 3469885994177. The reversal of 3469885994169 is 9614995889643.

The square root of 3469885994169 is 1862763.

It is a perfect power (a square), and thus also a powerful number.

3469885994169 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 8 + 8 + 599 + 4 + 16 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1997594969769 + 1472291024400 = 1413363^2 + 1213380^2 .

It is not a de Polignac number, because 3469885994169 - 21 = 3469885994167 is a prime.

It is a super-3 number, since 3×34698859941693 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3469885994167) 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 80 ways as a sum of consecutive naturals, for example, 4185628047 + ... + 4185628875.

Almost surely, 23469885994169 is an apocalyptic number.

3469885994169 is the 1862763-rd square number.

3469885994169 is the 931382-nd centered octagonal number.

It is an amenable number.

3469885994169 is a deficient number, since it is larger than the sum of its proper divisors (2422573087158).

3469885994169 is an frugal number, since it uses more digits than its factorization.

3469885994169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 946 counting only the distinct ones).

The product of its digits is 3627970560, while the sum is 81.

Multiplying 3469885994169 by its sum of digits (81), we get a square (281060765527689 = 167648672).

The spelling of 3469885994169 in words is "three trillion, four hundred sixty-nine billion, eight hundred eighty-five million, nine hundred ninety-four thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 107 147 321 441 749 829 963 2247 2487 5243 5803 6741 7461 11449 15729 17409 34347 40621 47187 52227 80143 88703 103041 121863 240429 266109 365589 561001 620921 687241 721287 798327 1683003 1862763 2061723 4346447 4810687 5049009 5588289 6185169 9491221 13039341 14432061 28473663 33674809 39118023 43296183 66438547 73534787 85420989 101024427 199315641 220604361 303073281 465069829 514743509 597946923 661813083 1395209487 1544230527 3603204563 4185628461 4632691581 7868222209 10809613689 23604666627 32428841067 55077555463 70813999881 165232666389 385542888241 495697999167 1156628664723 3469885994169