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195924771219969 = 36112471292
BaseRepresentation
bin101100100011000101001010…
…011001000010101000000001
3221200201020002011201101000000
4230203011022121002220001
5201140012412413014334
61532410333005350213
756161045322242161
oct5443051231025001
9850636064641000
10195924771219969
1157478257672900
1219b83649568369
13854281b99732c
143654b494965a1
15179b6bd92a299
hexb2314a642a01

195924771219969 has 63 divisors (see below), whose sum is σ = 322892135820499. Its totient is φ = 118739766071520.

The previous prime is 195924771219941. The next prime is 195924771220027. The reversal of 195924771219969 is 969912177429591.

The square root of 195924771219969 is 13997313.

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

195924771219969 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 247 + 71 + 219 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74822490369 + 195849948729600 = 273537^2 + 13994640^2 .

It is not a de Polignac number, because 195924771219969 - 223 = 195924762831361 is a prime.

It is a super-2 number, since 2×1959247712199692 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (195924771019969) 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 62 ways as a sum of consecutive naturals, for example, 4157178397 + ... + 4157225525.

Almost surely, 2195924771219969 is an apocalyptic number.

195924771219969 is the 13997313-rd square number.

195924771219969 is the 6998657-th centered octagonal number.

It is an amenable number.

195924771219969 is a deficient number, since it is larger than the sum of its proper divisors (126967364600530).

195924771219969 is an frugal number, since it uses more digits than its factorization.

195924771219969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94298 (or 47143 counting only the distinct ones).

The product of its digits is 1388832480, while the sum is 81.

195924771219969 divided by its sum of digits (81) gives a square (2418824336049 = 15552572).

The spelling of 195924771219969 in words is "one hundred ninety-five trillion, nine hundred twenty-four billion, seven hundred seventy-one million, two hundred nineteen thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2673 3267 8019 9801 29403 47129 88209 141387 424161 518419 1272483 1555257 3817449 4665771 5702609 11452347 13997313 17107827 34357041 41991939 51323481 125975817 153970443 377927451 461911329 1385733987 2221142641 4157201961 6663427923 19990283769 24432569051 59970851307 73297707153 179912553921 219893121459 268758259561 539737661763 659679364377 806274778683 1619212985289 1979038093131 2418824336049 5937114279393 7256473008147 17811342838179 21769419024441 65308257073323 195924771219969