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9943249680 = 243257131779113
BaseRepresentation
bin10010100001010100…
…11111001100010000
3221122221222102022200
421100222133030100
5130330432442210
64322354203200
7501255141060
oct112052371420
927587872280
109943249680
114242783721
121b15b83500
13c2600a6c0
146a47cd3a0
153d2ded0c0
hex250a9f310

9943249680 has 960 divisors, whose sum is σ = 44457154560. Its totient is φ = 1932263424.

The previous prime is 9943249643. The next prime is 9943249681. The reversal of 9943249680 is 869423499.

9943249680 is a `hidden beast` number, since 99 + 432 + 49 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (9943249681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87993304 + ... + 87993416.

It is an arithmetic number, because the mean of its divisors is an integer number (46309536).

Almost surely, 29943249680 is an apocalyptic number.

9943249680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9943249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228577280).

9943249680 is an abundant number, since it is smaller than the sum of its proper divisors (34513904880).

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

9943249680 is a wasteful number, since it uses less digits than its factorization.

9943249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9943249680 is about 99715.8446787671. The cubic root of 9943249680 is about 2150.3514608417.

It can be divided in two parts, 994324 and 9680, that added together give a square (1004004 = 10022).

The spelling of 9943249680 in words is "nine billion, nine hundred forty-three million, two hundred forty-nine thousand, six hundred eighty".