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825949204322 = 21144721132
BaseRepresentation
bin11000000010011100110…
…10001010111101100010
32220221220211010220100012
430001032122022331202
5102013020444014242
61431234045524522
7113446535253644
oct14011632127542
92827824126305
10825949204322
11299312880000
121140a8873742
135cb6b046748
142bd947d6894
15167414b0282
hexc04e68af62

825949204322 has 90 divisors (see below), whose sum is σ = 1404851921265. Its totient is φ = 364191840320.

The previous prime is 825949204319. The next prime is 825949204397. The reversal of 825949204322 is 223402949528.

It can be written as a sum of positive squares in 2 ways, for example, as 521643618001 + 304305586321 = 722249^2 + 551639^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=642631.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7309284938 + ... + 7309285050.

Almost surely, 2825949204322 is an apocalyptic number.

825949204322 is a deficient number, since it is larger than the sum of its proper divisors (578902716943).

825949204322 is an frugal number, since it uses more digits than its factorization.

825949204322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

Multiplying 825949204322 by its sum of digits (50), we get a square (41297460216100 = 64263102).

The spelling of 825949204322 in words is "eight hundred twenty-five billion, nine hundred forty-nine million, two hundred four thousand, three hundred twenty-two".

Divisors: 1 2 11 22 47 94 113 121 226 242 517 1034 1243 1331 2209 2486 2662 4418 5311 5687 10622 11374 12769 13673 14641 24299 25538 27346 29282 48598 58421 62557 116842 125114 140459 150403 249617 267289 280918 300806 499234 534578 600143 642631 688127 1200286 1285262 1376254 1545049 1654433 2745787 2940179 3090098 3308866 5491574 5880358 6601573 7068941 13203146 14137882 16995539 28206721 30203657 32341969 33991078 56413442 60407314 64683938 72617303 77758351 145234606 155516702 186950929 310273931 332240227 373901858 620547862 664480454 798790333 1597580666 3413013241 3654642497 6826026482 7309284994 8786693663 17573387326 37543145651 75086291302 412974602161 825949204322