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9949532786944 = 28137214392
BaseRepresentation
bin1001000011001000111001…
…0111100001000100000000
31022020011111001021012101021
42100302032113201010000
52301003120343140234
633054430253315224
72044554461201332
oct220621627410400
938204431235337
109949532786944
113196633968983
121148352495b14
1357231067308a
142657ba73d452
15123c2455e9b4
hex90c8e5e1100

9949532786944 has 81 divisors (see below), whose sum is σ = 20020135841797. Its totient is φ = 4935022364672.

The previous prime is 9949532786933. The next prime is 9949532786953. The reversal of 9949532786944 is 4496872359499.

The square root of 9949532786944 is 3154288.

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., 5844402950400 + 4105129836544 = 2417520^2 + 2026112^2 .

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, 6914198577 + ... + 6914200015.

Almost surely, 29949532786944 is an apocalyptic number.

9949532786944 is the 3154288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9949532786944

9949532786944 is an abundant number, since it is smaller than the sum of its proper divisors (10070603054853).

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

9949532786944 is an frugal number, since it uses more digits than its factorization.

9949532786944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 1578 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 79.

The spelling of 9949532786944 in words is "nine trillion, nine hundred forty-nine billion, five hundred thirty-two million, seven hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 1439 2192 2878 4384 5756 8768 11512 17536 18769 23024 35072 37538 46048 75076 92096 150152 184192 197143 300304 368384 394286 600608 788572 1201216 1577144 2070721 2402432 3154288 4141442 4804864 6308576 8282884 12617152 16565768 25234304 27008591 33131536 50468608 54017182 66263072 108034364 132526144 216068728 265052288 283688777 432137456 530104576 567377554 864274912 1134755108 1728549824 2269510216 3457099648 4539020432 6914199296 9078040864 18156081728 36312163456 38865362449 72624326912 77730724898 155461449796 310922899592 621845799184 1243691598368 2487383196736 4974766393472 9949532786944