Search a number
-
+
96282425520 = 2434519279521
BaseRepresentation
bin101100110101011100…
…0010011100010110000
3100012112002100222210000
41121222320103202300
53034141300104040
6112122002310000
76645653053641
oct1315270234260
9305462328700
1096282425520
1137918a123a6
12167b0958300
139105574728
1449354276c8
152787ba1130
hex166ae138b0

96282425520 has 600 divisors, whose sum is σ = 358083063360. Its totient is φ = 23969986560.

The previous prime is 96282425497. The next prime is 96282425521. The reversal of 96282425520 is 2552428269.

It is a happy number.

96282425520 is a `hidden beast` number, since 9 + 6 + 2 + 82 + 42 + 5 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96282425521) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 184802860 + ... + 184803380.

Almost surely, 296282425520 is an apocalyptic number.

96282425520 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 96282425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179041531680).

96282425520 is an abundant number, since it is smaller than the sum of its proper divisors (261800637840).

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

96282425520 is a wasteful number, since it uses less digits than its factorization.

96282425520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 96282425520 in words is "ninety-six billion, two hundred eighty-two million, four hundred twenty-five thousand, five hundred twenty".