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18869745220624 = 241926129372
BaseRepresentation
bin1000100101001011101000…
…11101011111110000010000
32110210221002222200200221201
410102211310131133300100
54433130214234024444
6104044350303400544
73655202606636314
oct422456435376020
973727088620851
1018869745220624
116015683275551
1221490bb5b3154
13a6b54241975c
1449342c987b44
1522aca3230dd4
hex11297475fc10

18869745220624 has 135 divisors (see below), whose sum is σ = 39270455092791. Its totient is φ = 8782387960320.

The previous prime is 18869745220619. The next prime is 18869745220639. The reversal of 18869745220624 is 42602254796881.

The square root of 18869745220624 is 4343932.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15832281840400 + 3037463380224 = 3978980^2 + 1742832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20138468284 + ... + 20138469220.

Almost surely, 218869745220624 is an apocalyptic number.

18869745220624 is the 4343932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18869745220624

18869745220624 is an abundant number, since it is smaller than the sum of its proper divisors (20400709872167).

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

18869745220624 is an frugal number, since it uses more digits than its factorization.

18869745220624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 18869745220624 in words is "eighteen trillion, eight hundred sixty-nine billion, seven hundred forty-five million, two hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 361 488 722 937 976 1159 1444 1874 2318 2888 3721 3748 4636 5776 7442 7496 9272 14884 14992 17803 18544 22021 29768 35606 44042 57157 59536 70699 71212 88084 114314 141398 142424 176168 228628 282796 284848 338257 352336 457256 565592 676514 877969 914512 1085983 1131184 1343281 1353028 1755938 2171966 2686562 2706056 3486577 3511876 4343932 5373124 5412112 6973154 7023752 8687864 10746248 13946308 14047504 16681411 17375728 20633677 21492496 27892616 33362822 41267354 53556109 55785232 66244963 66725644 82534708 107112218 132489926 133451288 165069416 214224436 264979852 266902576 316946809 330138832 428448872 529959704 633893618 856897744 1017566071 1059919408 1258654297 1267787236 2035132142 2517308594 2535574472 3266922649 4070264284 5034617188 5071148944 6533845298 8140528568 10069234376 13067690596 16281057136 19333755349 20138468752 26135381192 38667510698 52270762384 62071530331 77335021396 124143060662 154670042792 248286121324 309340085584 496572242648 993144485296 1179359076289 2358718152578 4717436305156 9434872610312 18869745220624