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11482447307776 = 21017262292
BaseRepresentation
bin1010011100010111011100…
…1100010110010000000000
31111122201012111101020102221
42213011313030112100000
53001112023002322101
640230544035420424
72263402514505124
oct247056714262000
944581174336387
1011482447307776
1137277511819a5
121355460454714
13653a36c079c3
142b9a79529584
1514da4133eaa1
hexa7177316400

11482447307776 has 99 divisors (see below), whose sum is σ = 24387237449859. Its totient is φ = 5402637139968.

The previous prime is 11482447307719. The next prime is 11482447307797. The reversal of 11482447307776 is 67770374428411.

The square root of 11482447307776 is 3388576.

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 1009301529600 + 10473145778176 = 1004640^2 + 3236224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1843382230 + ... + 1843388458.

Almost surely, 211482447307776 is an apocalyptic number.

11482447307776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11482447307776 is the 3388576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11482447307776

11482447307776 is an abundant number, since it is smaller than the sum of its proper divisors (12904790142083).

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

11482447307776 is an frugal number, since it uses more digits than its factorization.

11482447307776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 61.

The spelling of 11482447307776 in words is "eleven trillion, four hundred eighty-two billion, four hundred forty-seven million, three hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2176 2312 4352 4624 6229 8704 9248 12458 17408 18496 24916 36992 49832 73984 99664 105893 147968 199328 211786 295936 398656 423572 797312 847144 1594624 1694288 1800181 3189248 3388576 3600362 6378496 6777152 7200724 13554304 14401448 27108608 28802896 38800441 54217216 57605792 77600882 108434432 115211584 155201764 230423168 310403528 460846336 620807056 659607497 921692672 1241614112 1319214994 1843385344 2483228224 2638429988 4966456448 5276859976 9932912896 10553719952 11213327449 19865825792 21107439904 22426654898 39731651584 42214879808 44853309796 84429759616 89706619592 168859519232 179413239184 337719038464 358826478368 675438076928 717652956736 1435305913472 2870611826944 5741223653888 11482447307776