Search a number
-
+
542818244644 = 221324326592
BaseRepresentation
bin1111110011000100111…
…11010001100000100100
31220220002221021220121021
413321202133101200210
532343142432312034
61053211154500524
754134353644004
oct7714237214044
91826087256537
10542818244644
1119a231825445
1289250894744
133c259047a00
141c3b5c04004
15e1bec5a6b4
hex7e627d1824

542818244644 has 81 divisors (see below), whose sum is σ = 1054702783953. Its totient is φ = 244333855584.

The previous prime is 542818244627. The next prime is 542818244699. The reversal of 542818244644 is 446442818245.

The square root of 542818244644 is 736762.

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

It can be written as a sum of positive squares in only one way, i.e., 80298556900 + 462519687744 = 283370^2 + 680088^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 542818244591 and 542818244600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 823699587 + ... + 823700245.

Almost surely, 2542818244644 is an apocalyptic number.

542818244644 is the 736762-nd square number.

It is an amenable number.

542818244644 is a deficient number, since it is larger than the sum of its proper divisors (511884539309).

542818244644 is an equidigital number, since it uses as much as digits as its factorization.

542818244644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 717 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 52.

The spelling of 542818244644 in words is "five hundred forty-two billion, eight hundred eighteen million, two hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 43 52 86 169 172 338 559 659 676 1118 1318 1849 2236 2636 3698 7267 7396 8567 14534 17134 24037 28337 29068 34268 48074 56674 96148 111371 113348 222742 312481 368381 434281 445484 624962 736762 868562 1218491 1249924 1473524 1737124 2436982 4788953 4873964 5645653 9577906 11291306 15840383 18674083 19155812 22582612 31680766 37348166 63361532 73393489 74696332 146786978 205924979 242763079 293573956 411849958 485526158 802985569 823699916 971052316 1605971138 3155920027 3211942276 6311840054 10438812397 12623680108 20877624794 41755249588 135704561161 271409122322 542818244644