Search a number
-
+
475185499569 = 361142112
BaseRepresentation
bin1101110101000110100…
…00110100110110110001
31200102112111100111000000
412322203100310312301
530241134441441234
61002144110220213
746221353050134
oct6724320646661
91612474314000
10475185499569
11173585910000
12781167b4669
1335a6b192721
1418ddb76621b
15c5623a3899
hex6ea3434db1

475185499569 has 105 divisors (see below), whose sum is σ = 787424486745. Its totient is φ = 286626324600.

The previous prime is 475185499567. The next prime is 475185499577. The reversal of 475185499569 is 965994581574.

The square root of 475185499569 is 689337.

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

475185499569 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 8 + 54 + 9 + 9 + 569 = 666.

475185499569 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 475185499569 - 21 = 475185499567 is a prime.

It is a super-2 number, since 2×4751854995692 (a number of 24 digits) contains 22 as substring.

Its product of digits (489888000) is a multiple of the sum of its prime divisors (225).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 475185499497 and 475185499506.

It is not an unprimeable number, because it can be changed into a prime (475185499561) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2252063874 + ... + 2252064084.

Almost surely, 2475185499569 is an apocalyptic number.

475185499569 is the 689337-th square number.

475185499569 is the 344669-th centered octagonal number.

It is an amenable number.

475185499569 is a deficient number, since it is larger than the sum of its proper divisors (312238987176).

475185499569 is an frugal number, since it uses more digits than its factorization.

475185499569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 225 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 475185499569 in words is "four hundred seventy-five billion, one hundred eighty-five million, four hundred ninety-nine thousand, five hundred sixty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 211 243 297 363 633 729 891 1089 1331 1899 2321 2673 3267 3993 5697 6963 8019 9801 11979 14641 17091 20889 25531 29403 35937 43923 44521 51273 62667 76593 88209 107811 131769 133563 153819 188001 229779 280841 323433 395307 400689 489731 564003 689337 842523 970299 1185921 1202067 1469193 1692009 2068011 2527569 3089251 3557763 3606201 4407579 5387041 6204033 7582707 9267753 10673289 10818603 13222737 16161123 18612099 22748121 27803259 32455809 39668211 48483369 59257451 68244363 83409777 119004633 145450107 177772353 204733089 250229331 357013899 436350321 533317059 651831961 750687993 1309050963 1599951177 1955495883 2252063979 3927152889 4799853531 5866487649 14399560593 17599462947 43198681779 52798388841 158395166523 475185499569