Search a number
-
+
8275071146496 = 293711577121259
BaseRepresentation
bin111100001101011000010…
…1011010001101000000000
31002022002101221021110102220
41320122300223101220000
52041034321203141441
625333303141211040
71512565656120450
oct170326053215000
932262357243386
108275071146496
11270048aa27970
12b17920700a80
13480449b69b7b
14208730a77d60
15e53c0d07466
hex786b0ad1a00

8275071146496 has 320 divisors, whose sum is σ = 27532919208960. Its totient is φ = 2145626357760.

The previous prime is 8275071146429. The next prime is 8275071146549. The reversal of 8275071146496 is 6946411705728.

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 31 ways as a sum of consecutive naturals, for example, 68182315 + ... + 68303573.

It is an arithmetic number, because the mean of its divisors is an integer number (86040372528).

Almost surely, 28275071146496 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 8275071146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766459604480).

8275071146496 is an abundant number, since it is smaller than the sum of its proper divisors (19257848062464).

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

8275071146496 is a wasteful number, since it uses less digits than its factorization.

8275071146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121875 (or 121859 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 8275071146496 in words is "eight trillion, two hundred seventy-five billion, seventy-one million, one hundred forty-six thousand, four hundred ninety-six".