Search a number
-
+
13782863222784 = 211323720209951
BaseRepresentation
bin1100100010010001001010…
…1010101001100000000000
31210210121222102202210021200
43020210102222221200000
53301304300441112114
645151432052221200
72621531125243665
oct310442252514000
953717872683250
1013782863222784
114434308a75097
12166726500a800
1378c9454c2216
14359146465a6c
1518d7cd285409
hexc8912aa9800

13782863222784 has 144 divisors (see below), whose sum is σ = 40883318199360. Its totient is φ = 4470117580800.

The previous prime is 13782863222749. The next prime is 13782863222801. The reversal of 13782863222784 is 48722236828731.

13782863222784 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 286 + 322 + 27 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9422992 + ... + 10786959.

It is an arithmetic number, because the mean of its divisors is an integer number (283911931940).

Almost surely, 213782863222784 is an apocalyptic number.

It is an amenable number.

13782863222784 is an abundant number, since it is smaller than the sum of its proper divisors (27100454976576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13782863222784 is a wasteful number, since it uses less digits than its factorization.

13782863222784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20210016 (or 20209993 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 13782863222784 in words is "thirteen trillion, seven hundred eighty-two billion, eight hundred sixty-three million, two hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4608 4736 5328 6144 7104 9216 9472 10656 14208 18432 18944 21312 28416 37888 42624 56832 75776 85248 113664 170496 227328 340992 681984 20209951 40419902 60629853 80839804 121259706 161679608 181889559 242519412 323359216 363779118 485038824 646718432 727558236 747768187 970077648 1293436864 1455116472 1495536374 1940155296 2243304561 2586873728 2910232944 2991072748 3880310592 4486609122 5173747456 5820465888 5982145496 6729913683 7760621184 8973218244 10347494912 11640931776 11964290992 13459827366 15521242368 17946436488 20694989824 23281863552 23928581984 26919654732 31042484736 35892872976 41389979648 46563727104 47857163968 53839309464 62084969472 71785745952 93127454208 95714327936 107678618928 124169938944 143571491904 186254908416 191428655872 215357237856 287142983808 372509816832 382857311744 430714475712 574285967616 765714623488 861428951424 1148571935232 1531429246976 1722857902848 2297143870464 3445715805696 4594287740928 6891431611392 13782863222784