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9950442304 = 261134940499
BaseRepresentation
bin10010100010001011…
…11011001101000000
3221200110111211202011
421101011323031000
5130334303123204
64323212302304
7501403235605
oct112105731500
927613454664
109950442304
114246846640
121b18471994
13c276584aa
146a57426ac
153d386e304
hex25117b340

9950442304 has 56 divisors (see below), whose sum is σ = 21602700000. Its totient is φ = 4509857280.

The previous prime is 9950442289. The next prime is 9950442311. The reversal of 9950442304 is 4032440599.

It is a super-2 number, since 2×99504423042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225447 + ... + 265945.

It is an arithmetic number, because the mean of its divisors is an integer number (385762500).

Almost surely, 29950442304 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 9950442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10801350000).

9950442304 is an abundant number, since it is smaller than the sum of its proper divisors (11652257696).

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

9950442304 is a wasteful number, since it uses less digits than its factorization.

9950442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40871 (or 40861 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 9950442304 is about 99751.9037612817. The cubic root of 9950442304 is about 2150.8698340148.

It can be divided in two parts, 9950 and 442304, that added together give a palindrome (452254).

The spelling of 9950442304 in words is "nine billion, nine hundred fifty million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 349 352 698 704 1396 2792 3839 5584 7678 11168 15356 22336 30712 40499 61424 80998 122848 161996 245696 323992 445489 647984 890978 1295968 1781956 2591936 3563912 7127824 14134151 14255648 28268302 28511296 56536604 113073208 155475661 226146416 310951322 452292832 621902644 904585664 1243805288 2487610576 4975221152 9950442304