Search a number
-
+
96192000000 = 2123256167
BaseRepresentation
bin101100110010101111…
…1010111000000000000
3100012021210012220021200
41121211133113000000
53034000123000000
6112105012221200
76643504336455
oct1314537270000
9305253186250
1096192000000
1137881970368
121678660a800
1390bc903bc5
14492740982c
15277ec8d500
hex16657d7000

96192000000 has 546 divisors, whose sum is σ = 349392871464. Its totient is φ = 25497600000.

The previous prime is 96191999999. The next prime is 96192000007. The reversal of 96192000000 is 29169.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96192000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 575999917 + ... + 576000083.

It is an arithmetic number, because the mean of its divisors is an integer number (639913684).

Almost surely, 296192000000 is an apocalyptic number.

96192000000 is a gapful number since it is divisible by the number (90) 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 96192000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174696435732).

96192000000 is an abundant number, since it is smaller than the sum of its proper divisors (253200871464).

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

96192000000 is an frugal number, since it uses more digits than its factorization.

96192000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 96192000000 its reverse (29169), we get a palindrome (96192029169).

The spelling of 96192000000 in words is "ninety-six billion, one hundred ninety-two million", and thus it is an aban number.