Search a number
-
+
9944941248 = 26321117127727
BaseRepresentation
bin10010100001100001…
…11100001011000000
3221200002011100201100
421100300330023000
5130331401104443
64322454334400
7501305414544
oct112060741300
927602140640
109944941248
114243729610
121b1665a400
13c26480628
146a4b0da24
153d31343d3
hex250c3c2c0

9944941248 has 336 divisors, whose sum is σ = 33230905344. Its totient is φ = 2810142720.

The previous prime is 9944941243. The next prime is 9944941271. The reversal of 9944941248 is 8421494499.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9944941194 and 9944941203.

It is not an unprimeable number, because it can be changed into a prime (9944941243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13679061 + ... + 13679787.

It is an arithmetic number, because the mean of its divisors is an integer number (98901504).

Almost surely, 29944941248 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 9944941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615452672).

9944941248 is an abundant number, since it is smaller than the sum of its proper divisors (23285964096).

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

9944941248 is a wasteful number, since it uses less digits than its factorization.

9944941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 887 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9944941248 is about 99724.3262599452. The cubic root of 9944941248 is about 2150.4733948031.

The spelling of 9944941248 in words is "nine billion, nine hundred forty-four million, nine hundred forty-one thousand, two hundred forty-eight".