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112169396889 = 341121721992
BaseRepresentation
bin110100001110111010…
…0010010101010011001
3101201112021111202110000
41220131310102222121
53314210331200024
6123310243243213
711050443066504
oct1503564225231
9351467452400
10112169396889
1143630778100
12198a5379509
13a767aa4bc4
14560137613b
152db77bbcc9
hex1a1dd12a99

112169396889 has 135 divisors (see below), whose sum is σ = 196638870351. Its totient is φ = 63661023360.

The previous prime is 112169396887. The next prime is 112169396959. The reversal of 112169396889 is 988693961211.

The square root of 112169396889 is 334917.

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

112169396889 is a `hidden beast` number, since 1 + 1 + 2 + 169 + 396 + 8 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87329115225 + 24840281664 = 295515^2 + 157608^2 .

It is not a de Polignac number, because 112169396889 - 21 = 112169396887 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112169396887) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 563665212 + ... + 563665410.

Almost surely, 2112169396889 is an apocalyptic number.

112169396889 is the 334917-th square number.

112169396889 is the 167459-th centered octagonal number.

It is an amenable number.

112169396889 is a deficient number, since it is larger than the sum of its proper divisors (84469473462).

112169396889 is an equidigital number, since it uses as much as digits as its factorization.

112169396889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 230 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The spelling of 112169396889 in words is "one hundred twelve billion, one hundred sixty-nine million, three hundred ninety-six thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 199 289 297 363 459 561 597 867 891 1089 1377 1683 1791 2057 2189 2601 3179 3267 3383 5049 5373 6171 6567 7803 9537 9801 10149 15147 16119 18513 19701 23409 24079 28611 30447 34969 37213 39601 55539 57511 59103 72237 85833 91341 104907 111639 118803 166617 172533 177309 216711 257499 274023 314721 334917 356409 409343 435611 517599 632621 650133 673217 944163 1004751 1069227 1228029 1306833 1552797 1897863 1950399 2019651 2832489 3014253 3207681 3684087 3920499 4658391 4791721 5693589 6058953 6958831 7405387 11052261 11444689 11761497 14375163 17080767 18176859 20876493 22216161 33156783 34334067 35284491 43125489 51242301 54530577 62629479 66648483 81459257 103002201 125891579 129376467 187888437 199945449 244377771 309006603 377674737 388129401 563665311 599836347 733133313 927019809 1133024211 1384807369 2199399939 3399072633 4154422107 6598199817 10197217899 12463266321 37389798963 112169396889