Search a number
-
+
9695401056 = 2533117431373
BaseRepresentation
bin10010000011110010…
…00001010001100000
3221000200121101221000
421001321001101200
5124324010313211
64242022032000
7462155356245
oct110171012140
927020541830
109695401056
11412588a350
121a66b78600
13bb686c303
1467d9135cc
153bb291656
hex241e41460

9695401056 has 192 divisors, whose sum is σ = 30913021440. Its totient is φ = 2931909120.

The previous prime is 9695400977. The next prime is 9695401057. The reversal of 9695401056 is 6501045969.

It is a happy number.

9695401056 is a `hidden beast` number, since 96 + 9 + 540 + 10 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9695401057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7060786 + ... + 7062158.

It is an arithmetic number, because the mean of its divisors is an integer number (161005320).

Almost surely, 29695401056 is an apocalyptic number.

9695401056 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 9695401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456510720).

9695401056 is an abundant number, since it is smaller than the sum of its proper divisors (21217620384).

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

9695401056 is a wasteful number, since it uses less digits than its factorization.

9695401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9695401056 is about 98465.2276491554. The cubic root of 9695401056 is about 2132.3341363290.

The spelling of 9695401056 in words is "nine billion, six hundred ninety-five million, four hundred one thousand, fifty-six".