Search a number
-
+
9496480964096 = 297193133113591
BaseRepresentation
bin1000101000110001001001…
…0111111101111000000000
31020121212002002022222211202
42022030102113331320000
52221042243111322341
632110342332400332
72000045436223010
oct212142227757000
936555062288752
109496480964096
113031486a27895
1210945943160a8
1353b68bc377a9
1424b8bc7d3c40
1511705a3e279b
hex8a3125fde00

9496480964096 has 320 divisors, whose sum is σ = 23635622461440. Its totient is φ = 3719789568000.

The previous prime is 9496480964093. The next prime is 9496480964111. The reversal of 9496480964096 is 6904690846949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9496480964093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698726261 + ... + 698739851.

It is an arithmetic number, because the mean of its divisors is an integer number (73861320192).

Almost surely, 29496480964096 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 9496480964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817811230720).

9496480964096 is an abundant number, since it is smaller than the sum of its proper divisors (14139141497344).

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

9496480964096 is a wasteful number, since it uses less digits than its factorization.

9496480964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13997 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 74.

The spelling of 9496480964096 in words is "nine trillion, four hundred ninety-six billion, four hundred eighty million, nine hundred sixty-four thousand, ninety-six".