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8923986864 = 2433132313943
BaseRepresentation
bin10000100111110100…
…10011101110110000
3212000221001111121000
420103322103232300
5121234020034424
64033304002000
7434100431262
oct102372235660
925027044530
108923986864
11386a3a3461
121890760300
13ac2ab7800
146092a9b32
153736b43c9
hex213e93bb0

8923986864 has 240 divisors, whose sum is σ = 28639119360. Its totient is φ = 2656592640.

The previous prime is 8923986859. The next prime is 8923986871. The reversal of 8923986864 is 4686893298.

8923986864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2261277 + ... + 2265219.

It is an arithmetic number, because the mean of its divisors is an integer number (119329664).

Almost surely, 28923986864 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 8923986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319559680).

8923986864 is an abundant number, since it is smaller than the sum of its proper divisors (19715132496).

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

8923986864 is a wasteful number, since it uses less digits than its factorization.

8923986864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 3992 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 8923986864 is about 94466.8559019511. The cubic root of 8923986864 is about 2074.2111959140.

The spelling of 8923986864 in words is "eight billion, nine hundred twenty-three million, nine hundred eighty-six thousand, eight hundred sixty-four".