Search a number
-
+
9794100096 = 273411237211
BaseRepresentation
bin10010001111100011…
…00001101110000000
3221021120022211120000
421013301201232000
5130024242200341
64255505320000
7464464322454
oct110761415600
927246284500
109794100096
114176572400
121a94036000
13c01148901
1468ca86664
153c4c8a8b6
hex247c61b80

9794100096 has 480 divisors, whose sum is σ = 33059528040. Its totient is φ = 2874009600.

The previous prime is 9794100089. The next prime is 9794100137. The reversal of 9794100096 is 6900014979.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46417431 + ... + 46417641.

Almost surely, 29794100096 is an apocalyptic number.

9794100096 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 9794100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16529764020).

9794100096 is an abundant number, since it is smaller than the sum of its proper divisors (23265427944).

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

9794100096 is a wasteful number, since it uses less digits than its factorization.

9794100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9794100096 is about 98965.1458645921. The cubic root of 9794100096 is about 2139.5454311520.

The spelling of 9794100096 in words is "nine billion, seven hundred ninety-four million, one hundred thousand, ninety-six".