Search a number
-
+
8930746368 = 2133443313
BaseRepresentation
bin10000101000101000…
…00110000000000000
3212001101202220220000
420110110012000000
5121242232340433
64034104520000
7434212043265
oct102424060000
925041686800
108930746368
11387319aa25
121892a80000
13ac431340b
1460a14926c
1537409c113
hex214506000

8930746368 has 280 divisors, whose sum is σ = 27388050888. Its totient is φ = 2898395136.

The previous prime is 8930746327. The next prime is 8930746369. The reversal of 8930746368 is 8636470398.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8930746369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28532580 + ... + 28532892.

Almost surely, 28930746368 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 8930746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694025444).

8930746368 is an abundant number, since it is smaller than the sum of its proper divisors (18457304520).

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

8930746368 is an equidigital number, since it uses as much as digits as its factorization.

8930746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 8930746368 is about 94502.6262492212. The cubic root of 8930746368 is about 2074.7347698347.

The spelling of 8930746368 in words is "eight billion, nine hundred thirty million, seven hundred forty-six thousand, three hundred sixty-eight".