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1120553224648 = 2311132935995581
BaseRepresentation
bin10000010011100110001…
…011010100100111001000
310222010100021120202112021
4100103212023110213020
5121324343111142043
62214435224254224
7143646232153204
oct20234613244710
93863307522467
101120553224648
113a225109a970
12161207011374
138188ac82070
143c34103bb04
151e23509a3ed
hex104e62d49c8

1120553224648 has 128 divisors (see below), whose sum is σ = 2481355296000. Its totient is φ = 467691494400.

The previous prime is 1120553224627. The next prime is 1120553224751. The reversal of 1120553224648 is 8464223550211.

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 31 ways as a sum of consecutive naturals, for example, 200777218 + ... + 200782798.

It is an arithmetic number, because the mean of its divisors is an integer number (19385588250).

Almost surely, 21120553224648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120553224648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240677648000).

1120553224648 is an abundant number, since it is smaller than the sum of its proper divisors (1360802071352).

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

1120553224648 is a wasteful number, since it uses less digits than its factorization.

1120553224648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

Adding to 1120553224648 its reverse (8464223550211), we get a palindrome (9584776774859).

The spelling of 1120553224648 in words is "one trillion, one hundred twenty billion, five hundred fifty-three million, two hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 293 572 586 599 1144 1172 1198 2344 2396 3223 3809 4792 5581 6446 6589 7618 7787 11162 12892 13178 15236 15574 22324 25784 26356 30472 31148 41899 44648 52712 61391 62296 72553 83798 85657 122782 145106 167596 171314 175507 245564 290212 335192 342628 351014 491128 580424 685256 702028 798083 1404056 1596166 1635233 1930577 2281591 3192332 3270466 3343019 3861154 4563182 6384664 6540932 6686038 7722308 9126364 13081864 13372076 15444616 17987563 18252728 21258029 25097501 26744152 35975126 36773209 42516058 43459247 50195002 71950252 73546418 85032116 86918494 100390004 143900504 147092836 170064232 173836988 200780008 233838319 294185672 347673976 467676638 478051717 935353276 956103434 979504567 1870706552 1912206868 1959009134 3824413736 3918018268 7836036536 10774550237 12733559371 21549100474 25467118742 43098200948 50934237484 86196401896 101868474968 140069153081 280138306162 560276612324 1120553224648