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20242683660969 = 3272112194772
BaseRepresentation
bin1001001101001000111011…
…11110000000101010101001
32122200011220102120211102100
410212210131332000222221
510123124004004122334
6111015205511124013
74156325400062100
oct446443576005251
978604812524370
1020242683660969
1164a4968223500
12232b201973609
13b3ab5266ac23
144dda730c9037
1525185a6eac99
hex12691df80aa9

20242683660969 has 81 divisors (see below), whose sum is σ = 37388347958871. Its totient is φ = 10515139921440.

The previous prime is 20242683660961. The next prime is 20242683660989. The reversal of 20242683660969 is 96906638624202.

The square root of 20242683660969 is 4499187.

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

20242683660969 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 268 + 366 + 0 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14413298355225 + 5829385305744 = 3796485^2 + 2414412^2 .

It is not a de Polignac number, because 20242683660969 - 23 = 20242683660961 is a prime.

It is a super-2 number, since 2×202426836609692 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20242683660961) 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, 1039302459 + ... + 1039321935.

Almost surely, 220242683660969 is an apocalyptic number.

20242683660969 is the 4499187-th square number.

20242683660969 is the 2249594-th centered octagonal number.

It is an amenable number.

20242683660969 is a deficient number, since it is larger than the sum of its proper divisors (17145664297902).

20242683660969 is an frugal number, since it uses more digits than its factorization.

20242683660969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38996 (or 19498 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 20242683660969 in words is "twenty trillion, two hundred forty-two billion, six hundred eighty-three million, six hundred sixty thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 19477 53361 58431 136339 175293 214247 409017 642741 954373 1227051 1499729 1928223 2356717 2863119 4499187 7070151 8589357 10498103 13497561 16497019 21210453 31494309 49491057 94482927 115479133 148473171 346437399 379353529 1039312197 1138060587 2655474703 3414181761 4172888819 7966424109 12518666457 18588322921 23899272327 29210221733 37555999371 45901777009 55764968763 87630665199 137705331027 167294906289 204471552131 262891995597 321312439063 413115993081 613414656393 963937317189 1840243969179 2249187073441 2891811951567 6747561220323 20242683660969