Search a number
-
+
9769934107248 = 2437243157615299
BaseRepresentation
bin1000111000101011110101…
…1100111011001001110000
31021120222220111122222002120
42032022331130323021300
52240032311112412443
632440125030314240
72025566034462300
oct216127534731160
937528814588076
109769934107248
113127451113677
12111958b1b8980
1355b3bac13083
1425ac1dd6d600
1511e2121cb083
hex8e2bd73b270

9769934107248 has 240 divisors, whose sum is σ = 30233833660800. Its totient is φ = 2709122637312.

The previous prime is 9769934107223. The next prime is 9769934107379. The reversal of 9769934107248 is 8427014399679.

It is a happy number.

It is a super-2 number, since 2×97699341072482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15570703 + ... + 16186001.

It is an arithmetic number, because the mean of its divisors is an integer number (125974306920).

Almost surely, 29769934107248 is an apocalyptic number.

9769934107248 is a gapful number since it is divisible by the number (98) 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 9769934107248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116916830400).

9769934107248 is an abundant number, since it is smaller than the sum of its proper divisors (20463899553552).

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

9769934107248 is a wasteful number, since it uses less digits than its factorization.

9769934107248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615524 (or 615511 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 69.

The spelling of 9769934107248 in words is "nine trillion, seven hundred sixty-nine billion, nine hundred thirty-four million, one hundred seven thousand, two hundred forty-eight".