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13550408863744 = 21211325092
BaseRepresentation
bin1100010100101111001101…
…0011101001000000000000
31202222101222021212211202111
43011023303103221000000
53234002214132114434
644452545532425104
72565661522633264
oct305136323510000
952871867784674
1013550408863744
1143547725aa665
12162a1b0618194
13773a4b49bacc
1434bbb3daa0a4
151877259c4964
hexc52f34e9000

13550408863744 has 117 divisors (see below), whose sum is σ = 27393250196923. Its totient is φ = 6702053851136.

The previous prime is 13550408863687. The next prime is 13550408863759. The reversal of 13550408863744 is 44736880405531.

The square root of 13550408863744 is 3681088.

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 1291223142400 + 12259185721344 = 1136320^2 + 3501312^2 .

It is a super-2 number, since 2×135504088637442 (a number of 27 digits) contains 22 as substring.

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, 26621628162 + ... + 26621628670.

Almost surely, 213550408863744 is an apocalyptic number.

13550408863744 is the 3681088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13550408863744

13550408863744 is an abundant number, since it is smaller than the sum of its proper divisors (13842841333179).

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

13550408863744 is an frugal number, since it uses more digits than its factorization.

13550408863744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 13550408863744 in words is "thirteen trillion, five hundred fifty billion, four hundred eight million, eight hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 509 512 904 1018 1024 1808 2036 2048 3616 4072 4096 7232 8144 12769 14464 16288 25538 28928 32576 51076 57517 57856 65152 102152 115034 115712 130304 204304 230068 231424 259081 260608 408608 460136 462848 518162 521216 817216 920272 1036324 1042432 1634432 1840544 2072648 2084864 3268864 3681088 4145296 6499421 6537728 7362176 8290592 12998842 13075456 14724352 16581184 25997684 26150912 29276153 29448704 33162368 51995368 52301824 58552306 58897408 66324736 103990736 117104612 117794816 132649472 207981472 234209224 235589632 265298944 415962944 468418448 530597888 831925888 936836896 1061195776 1663851776 1873673792 3308205289 3327703552 3747347584 6616410578 6655407104 7494695168 13232821156 13310814208 14989390336 26465642312 26621628416 29978780672 52931284624 59957561344 105862569248 119915122688 211725138496 423450276992 846900553984 1693801107968 3387602215936 6775204431872 13550408863744