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4990541538304 = 2107299732
BaseRepresentation
bin100100010011111001101…
…1101001010010000000000
3122200002110102100111012001
41020213303131022100000
51123231112113211204
614340342332513344
71023361162110100
oct110476335122000
918602412314161
104990541538304
111654527660273
1268724a31b854
132a27b564397a
1413378750d200
1589c371844a4
hex489f374a400

4990541538304 has 99 divisors (see below), whose sum is σ = 11606142155337. Its totient is φ = 2138589057024.

The previous prime is 4990541538289. The next prime is 4990541538313. The reversal of 4990541538304 is 4038351450994.

The square root of 4990541538304 is 2233952.

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., 605906560000 + 4384634978304 = 778400^2 + 2093952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 500400262 + ... + 500410234.

Almost surely, 24990541538304 is an apocalyptic number.

4990541538304 is the 2233952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4990541538304

4990541538304 is an abundant number, since it is smaller than the sum of its proper divisors (6615600617033).

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

4990541538304 is an frugal number, since it uses more digits than its factorization.

4990541538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19980 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 4990541538304 in words is "four trillion, nine hundred ninety billion, five hundred forty-one million, five hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 9973 12544 19946 25088 39892 50176 69811 79784 139622 159568 279244 319136 488677 558488 638272 977354 1116976 1276544 1954708 2233952 2553088 3909416 4467904 5106176 7818832 8935808 10212352 15637664 17871616 31275328 35743232 62550656 71486464 99460729 125101312 198921458 250202624 397842916 500405248 696225103 795685832 1392450206 1591371664 2784900412 3182743328 4873575721 5569800824 6365486656 9747151442 11139601648 12730973312 19494302884 22279203296 25461946624 38988605768 44558406592 50923893248 77977211536 89116813184 101847786496 155954423072 178233626368 311908846144 356467252736 623817692288 712934505472 1247635384576 2495270769152 4990541538304