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2128934808 = 233271113109271
BaseRepresentation
bin111111011100100…
…1111011110011000
312111100222002112100
41332321033132120
513330001403213
6551130243400
7103520435010
oct17671173630
95440862470
102128934808
119a2801260
124b4b86560
1327c0ac050
14162a5cc40
15c6d80773
hex7ee4f798

2128934808 has 384 divisors, whose sum is σ = 7841433600. Its totient is φ = 503884800.

The previous prime is 2128934791. The next prime is 2128934867. The reversal of 2128934808 is 8084398212.

2128934808 is a `hidden beast` number, since 21 + 289 + 348 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7855713 + ... + 7855983.

It is an arithmetic number, because the mean of its divisors is an integer number (20420400).

Almost surely, 22128934808 is an apocalyptic number.

2128934808 is a gapful number since it is divisible by the number (28) 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 2128934808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920716800).

2128934808 is an abundant number, since it is smaller than the sum of its proper divisors (5712498792).

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

2128934808 is a wasteful number, since it uses less digits than its factorization.

2128934808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2128934808 is about 46140.3815328829. The cubic root of 2128934808 is about 1286.4338354090.

The spelling of 2128934808 in words is "two billion, one hundred twenty-eight million, nine hundred thirty-four thousand, eight hundred eight".