Search a number
-
+
96304539240 = 2332572131923312
BaseRepresentation
bin101100110110000110…
…0101010011001101000
3100012120121222111002200
41121230030222121220
53034212430223430
6112124112300200
76646342035300
oct1315414523150
9305517874080
1096304539240
113792a4467a8
12167b8241660
13910a017c80
144938342600
152789abd460
hex166c32a668

96304539240 has 1728 divisors, whose sum is σ = 445019702400. Its totient is φ = 17818859520.

The previous prime is 96304539239. The next prime is 96304539311. The reversal of 96304539240 is 4293540369.

96304539240 is a `hidden beast` number, since 9 + 630 + 4 + 5 + 3 + 9 + 2 + 4 + 0 = 666.

96304539240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 3106598025 + ... + 3106598055.

It is an arithmetic number, because the mean of its divisors is an integer number (257534550).

Almost surely, 296304539240 is an apocalyptic number.

96304539240 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 96304539240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222509851200).

96304539240 is an abundant number, since it is smaller than the sum of its proper divisors (348715163160).

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

96304539240 is a wasteful number, since it uses less digits than its factorization.

96304539240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 96304539240 in words is "ninety-six billion, three hundred four million, five hundred thirty-nine thousand, two hundred forty".