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9943384064 = 21883457
BaseRepresentation
bin10010100001010110…
…00000000000000000
3221122222020020122212
421100223000000000
5130331001242224
64322401121252
7501256240625
oct112053000000
927588206585
109943384064
114242865689
121b16029228
13c26056913
146a482634c
153d2e27d0e
hex250ac0000

9943384064 has 76 divisors (see below), whose sum is σ = 20170369464. Its totient is φ = 4901044224.

The previous prime is 9943384049. The next prime is 9943384067. The reversal of 9943384064 is 4604833499.

It is a super-3 number, since 3×99433840643 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9943384067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21757724 + ... + 21758180.

Almost surely, 29943384064 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 9943384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085184732).

9943384064 is an abundant number, since it is smaller than the sum of its proper divisors (10226985400).

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

9943384064 is an frugal number, since it uses more digits than its factorization.

9943384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 50.

The square root of 9943384064 is about 99716.5185112276. The cubic root of 9943384064 is about 2150.3611482021.

The spelling of 9943384064 in words is "nine billion, nine hundred forty-three million, three hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 457 512 664 914 1024 1328 1828 2048 2656 3656 4096 5312 7312 8192 10624 14624 16384 21248 29248 32768 37931 42496 58496 65536 75862 84992 116992 131072 151724 169984 233984 262144 303448 339968 467968 606896 679936 935936 1213792 1359872 1871872 2427584 2719744 3743744 4855168 5439488 7487488 9710336 10878976 14974976 19420672 21757952 29949952 38841344 59899904 77682688 119799808 155365376 310730752 621461504 1242923008 2485846016 4971692032 9943384064