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453348603559168 = 2847172138775647
BaseRepresentation
bin110011100010100010111001…
…0011110010111110100000000
32012110011200222122210022101221
41213011011302132113310000
5433410130420002343133
64244105250124004424
7164330233006106002
oct14705056236276400
92173150878708357
10453348603559168
111214a6076a32079
1242a19bb6090714
13165c6788c68795
147dd4291d54372
153762986b45a2d
hex19c5172797d00

453348603559168 has 144 divisors (see below), whose sum is σ = 925119376763904. Its totient is φ = 221626092994560.

The previous prime is 453348603559079. The next prime is 453348603559249. The reversal of 453348603559168 is 861955306843354.

It is a junction number, because it is equal to n+sod(n) for n = 453348603559097 and 453348603559106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80281315321 + ... + 80281320967.

It is an arithmetic number, because the mean of its divisors is an integer number (6424440116416).

Almost surely, 2453348603559168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453348603559168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462559688381952).

453348603559168 is an abundant number, since it is smaller than the sum of its proper divisors (471770773204736).

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

453348603559168 is a wasteful number, since it uses less digits than its factorization.

453348603559168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 70.

The spelling of 453348603559168 in words is "four hundred fifty-three trillion, three hundred forty-eight billion, six hundred three million, five hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 1721 3008 3442 3877 5647 6016 6884 7754 11294 12032 13768 15508 22588 27536 31016 45176 55072 62032 80887 90352 110144 124064 161774 180704 182219 220288 248128 265409 323548 361408 364438 440576 496256 530818 647096 722816 728876 992512 1061636 1294192 1445632 1457752 2123272 2588384 2915504 4246544 5176768 5831008 6672317 8493088 9718487 10353536 11662016 13344634 16986176 19436974 20707072 21893419 23324032 26689268 33972352 38873948 43786838 46648064 53378536 67944704 77747896 87573676 106757072 155495792 175147352 213514144 310991584 313598899 350294704 427028288 456768889 621983168 627197798 700589408 854056576 913537778 1028990693 1243966336 1254395596 1401178816 1708113152 1827075556 2057981386 2487932672 2508791192 2802357632 3654151112 4115962772 5017582384 5604715264 7308302224 8231925544 10035164768 14616604448 16463851088 20070329536 29233208896 32927702176 37678574099 40140659072 58466417792 65855404352 75357148198 80281318144 116932835584 131710808704 150714296396 263421617408 301428592792 602857185584 1205714371168 1770892982653 2411428742336 3541785965306 4822857484672 7083571930612 9645714969344 14167143861224 28334287722448 56668575444896 113337150889792 226674301779584 453348603559168