Search a number
-
+
82374488782443 = 3211132127129130029
BaseRepresentation
bin10010101110101101001110…
…001001000111011001101011
3101210122220221202102010010100
4102232231032021013121223
541244110423112014233
6451110152343520443
723231234423551014
oct2256551611073153
9353586852363110
1082374488782443
1124279908467a50
1292a4889759123
1336c6b5b619500
14164ad373c800b
1597cb3980a813
hex4aeb4e24766b

82374488782443 has 144 divisors (see below), whose sum is σ = 141776256061440. Its totient is φ = 45683830483200.

The previous prime is 82374488782427. The next prime is 82374488782501. The reversal of 82374488782443 is 34428788447328.

82374488782443 is a `hidden beast` number, since 8 + 2 + 3 + 74 + 48 + 8 + 78 + 2 + 443 = 666.

It is not a de Polignac number, because 82374488782443 - 24 = 82374488782427 is a prime.

It is a super-4 number, since 4×823744887824434 (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (82374488782403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2743149553 + ... + 2743179581.

It is an arithmetic number, because the mean of its divisors is an integer number (984557333760).

Almost surely, 282374488782443 is an apocalyptic number.

82374488782443 is a deficient number, since it is larger than the sum of its proper divisors (59401767278997).

82374488782443 is a wasteful number, since it uses less digits than its factorization.

82374488782443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31490 (or 31474 counting only the distinct ones).

The product of its digits is 1849688064, while the sum is 72.

The spelling of 82374488782443 in words is "eighty-two trillion, three hundred seventy-four billion, four hundred eighty-eight million, seven hundred eighty-two thousand, four hundred forty-three".

Divisors: 1 3 9 11 13 33 39 99 117 127 143 169 381 429 507 1143 1287 1291 1397 1521 1651 1859 3873 4191 4953 5577 11619 12573 14201 14859 16731 16783 18161 21463 30029 42603 50349 54483 64389 90087 127809 151047 163449 163957 184613 193167 218179 236093 270261 330319 390377 491871 553839 654537 708279 990957 1171131 1475613 1661517 1803527 1963611 2124837 2131441 2399969 2972871 3513393 3813683 4294147 5074901 5410581 6394323 7199907 11441049 12882441 15224703 16231743 19182969 21599721 23445851 27708733 34323147 38647323 38767439 41950513 45674109 49577879 55823911 70337553 83126199 116302317 125851539 148733637 167471733 211012659 249378597 304796063 348906951 377554617 426441829 446200911 502415199 503976707 545356669 644512427 914388189 1279325487 1511930121 1636070007 1933537281 2743164567 3837976461 4535790363 4908210021 4923464753 5543743777 5800611843 6551697191 7089636697 14770394259 16631231331 19655091573 21268910091 44311182777 49893693993 54158112283 58965274719 63806730273 64005041789 72068669101 162474336849 192015125367 216206007303 487423010547 576045376101 648618021909 704055459679 832065543257 2112166379037 2496196629771 6336499137111 7488589889313 9152720975827 27458162927481 82374488782443