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165093504489 = 321723122572
BaseRepresentation
bin1001100111000001010…
…1101111010111101001
3120210010122112222121100
42121300111233113221
510201102414120424
6203502022432013
714633112430344
oct2316025572751
9523118488540
10165093504489
1164019a85501
1227bb5592609
13127505a65c4
147dc219545b
154463c13dc9
hex267056f5e9

165093504489 has 81 divisors (see below), whose sum is σ = 262778818341. Its totient is φ = 99856465920.

The previous prime is 165093504451. The next prime is 165093504503. The reversal of 165093504489 is 984405390561.

The square root of 165093504489 is 406317.

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

165093504489 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 93 + 504 + 48 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110168894889 + 54924609600 = 331917^2 + 234360^2 .

It is not a de Polignac number, because 165093504489 - 27 = 165093504361 is a prime.

It is a super-2 number, since 2×1650935044892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165093504449) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 642387049 + ... + 642387305.

Almost surely, 2165093504489 is an apocalyptic number.

165093504489 is the 406317-th square number.

165093504489 is the 203159-th centered octagonal number.

It is an amenable number.

165093504489 is a deficient number, since it is larger than the sum of its proper divisors (97685313852).

165093504489 is an equidigital number, since it uses as much as digits as its factorization.

165093504489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 165093504489 in words is "one hundred sixty-five billion, ninety-three million, five hundred four thousand, four hundred eighty-nine".

Divisors: 1 3 9 17 31 51 93 153 257 279 289 527 771 867 961 1581 2313 2601 2883 4369 4743 7967 8649 8959 13107 16337 23901 26877 39321 49011 66049 71703 74273 80631 135439 147033 198147 222819 246977 277729 406317 594441 668457 740931 833187 1122833 1218951 2047519 2222793 2302463 2499561 3368499 4198609 6142557 6907389 10105497 12595827 18427671 19088161 20722167 34807823 37787481 57264483 63473089 71376353 104423469 171793449 190419267 214129059 313270407 571257801 591732991 642387177 1079042513 1775198973 3237127539 5325596919 9711382617 18343722721 55031168163 165093504489