Search a number
-
+
8440995816 = 233211253101181
BaseRepresentation
bin1111101110001111…
…10101111111101000
3210210021020000102200
413313013311333220
5114241343331231
63513331500200
7416114165151
oct76707657750
923707200380
108440995816
1136417a4100
121776a57660
13a46a095a6
145a10a0928
153460aabe6
hex1f71f5fe8

8440995816 has 288 divisors, whose sum is σ = 25998696360. Its totient is φ = 2471040000.

The previous prime is 8440995781. The next prime is 8440995853. The reversal of 8440995816 is 6185990448.

It can be written as a sum of positive squares in 4 ways, for example, as 7578398916 + 862596900 = 87054^2 + 29370^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46635246 + ... + 46635426.

Almost surely, 28440995816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8440995816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999348180).

8440995816 is an abundant number, since it is smaller than the sum of its proper divisors (17557700544).

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

8440995816 is a wasteful number, since it uses less digits than its factorization.

8440995816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8440995816 is about 91874.8921958551. The cubic root of 8440995816 is about 2036.0943322782.

The spelling of 8440995816 in words is "eight billion, four hundred forty million, nine hundred ninety-five thousand, eight hundred sixteen".