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269349247130769 = 3213271259272
BaseRepresentation
bin111101001111100011000010…
…001100100001110010010001
31022022200112111010220212211100
4331033203002030201302101
5240301004224231141034
62352505200320335013
7110506561303001001
oct7517430214416221
91268615433825740
10269349247130769
11789064130a3053
1226261831a74469
13b73a6a9607c00
144a728048d8001
1521215d320a099
hexf4f8c2321c91

269349247130769 has 81 divisors (see below), whose sum is σ = 427379187748539. Its totient is φ = 163391256231840.

The previous prime is 269349247130749. The next prime is 269349247130939. The reversal of 269349247130769 is 967031742943962.

The square root of 269349247130769 is 16411863.

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

269349247130769 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 4 + 92 + 471 + 3 + 0 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39844563185025 + 229504683945744 = 6312255^2 + 15149412^2 .

It is not a de Polignac number, because 269349247130769 - 223 = 269349238742161 is a prime.

It is a super-2 number, since 2×2693492471307692 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 269349247130697 and 269349247130706.

It is not an unprimeable number, because it can be changed into a prime (269349247130749) 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, 45444445684 + ... + 45444451610.

Almost surely, 2269349247130769 is an apocalyptic number.

269349247130769 is the 16411863-rd square number.

269349247130769 is the 8205932-nd centered octagonal number.

It is an amenable number.

269349247130769 is a deficient number, since it is larger than the sum of its proper divisors (158029940617770).

269349247130769 is an frugal number, since it uses more digits than its factorization.

269349247130769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12028 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 269349247130769 in words is "two hundred sixty-nine trillion, three hundred forty-nine billion, two hundred forty-seven million, one hundred thirty thousand, seven hundred sixty-nine".

Divisors: 1 3 9 13 39 71 117 169 213 507 639 923 1521 2769 5041 5927 8307 11999 15123 17781 35997 45369 53343 65533 77051 107991 196599 231153 420817 589797 693459 851929 1001663 1262451 2555787 3004989 3787353 5470621 7667361 9014967 16411863 29878007 35129329 49235589 71118073 89634021 105387987 213354219 268902063 316163961 388414091 456681277 640062657 1165242273 1370043831 2494182359 3495726819 4110131493 5049383183 5936856601 7482547077 15148149549 17810569803 22447641231 32424370667 45444448647 53431709409 97273112001 177086947489 291819336003 421516818671 531260842467 1264550456013 1593782527401 2302130317357 3793651368039 6906390952071 20719172856213 29927694125641 89783082376923 269349247130769