Search a number
-
+
9114895236096 = 210341318146703
BaseRepresentation
bin1000010010100011101000…
…0101111011110000000000
31012021101010201110120020000
42010220322011323300000
52143314301140023341
631215154114120000
71630346413110126
oct204507205736000
935241121416200
109114895236096
1129a4672810601
12103263bb80000
135116b95c74b0
14237240099916
1510c1754348b6
hex84a3a17bc00

9114895236096 has 440 divisors, whose sum is σ = 29475196855104. Its totient is φ = 2789028495360.

The previous prime is 9114895236067. The next prime is 9114895236103. The reversal of 9114895236096 is 6906325984119.

9114895236096 is a `hidden beast` number, since 9 + 1 + 1 + 48 + 9 + 523 + 60 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195143881 + ... + 195190583.

Almost surely, 29114895236096 is an apocalyptic number.

9114895236096 is a gapful number since it is divisible by the number (96) 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 9114895236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737598427552).

9114895236096 is an abundant number, since it is smaller than the sum of its proper divisors (20360301619008).

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

9114895236096 is a wasteful number, since it uses less digits than its factorization.

9114895236096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46929 (or 46902 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 9114895236096 in words is "nine trillion, one hundred fourteen billion, eight hundred ninety-five million, two hundred thirty-six thousand, ninety-six".