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1084811044416 = 263111912689223
BaseRepresentation
bin11111100100100111100…
…01101110011001000000
310211201002100100212201020
433302103301232121000
5120233143111410131
62150204425305440
7141242425510131
oct17622361563100
93751070325636
101084811044416
1138907a60a940
121562b1035280
137b3b3070ca8
143a710137c88
151d3422b4996
hexfc93c6e640

1084811044416 has 112 divisors (see below), whose sum is σ = 3147553824768. Its totient is φ = 327009395200.

The previous prime is 1084811044411. The next prime is 1084811044433. The reversal of 1084811044416 is 6144401184801.

1084811044416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1084811044411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941220 + ... + 1748003.

Almost surely, 21084811044416 is an apocalyptic number.

1084811044416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1084811044416 is an abundant number, since it is smaller than the sum of its proper divisors (2062742780352).

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

1084811044416 is a wasteful number, since it uses less digits than its factorization.

1084811044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689440 (or 2689430 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 1084811044416 in words is "one trillion, eighty-four billion, eight hundred eleven million, forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 191 192 264 352 382 528 573 704 764 1056 1146 1528 2101 2112 2292 3056 4202 4584 6112 6303 8404 9168 12224 12606 16808 18336 25212 33616 36672 50424 67232 100848 134464 201696 403392 2689223 5378446 8067669 10756892 16135338 21513784 29581453 32270676 43027568 59162906 64541352 86055136 88744359 118325812 129082704 172110272 177488718 236651624 258165408 354977436 473303248 513641593 516330816 709954872 946606496 1027283186 1419909744 1540924779 1893212992 2054566372 2839819488 3081849558 4109132744 5650057523 5679638976 6163699116 8218265488 11300115046 12327398232 16436530976 16950172569 22600230092 24654796464 32873061952 33900345138 45200460184 49309592928 67800690276 90400920368 98619185856 135601380552 180801840736 271202761104 361603681472 542405522208 1084811044416