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2421988128 = 25347294603
BaseRepresentation
bin1001000001011100…
…1001101100100000
320020210101202010000
42100113021230200
514430012110003
61040155340000
7114006362610
oct22027115440
96223352100
102421988128
11103317058a
12577151600
132c7a16c91
1418d944a40
15e296b1a3
hex905c9b20

2421988128 has 240 divisors, whose sum is σ = 8423110080. Its totient is φ = 667989504.

The previous prime is 2421988111. The next prime is 2421988199. The reversal of 2421988128 is 8218891242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 523875 + ... + 528477.

It is an arithmetic number, because the mean of its divisors is an integer number (35096292).

Almost surely, 22421988128 is an apocalyptic number.

2421988128 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 2421988128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211555040).

2421988128 is an abundant number, since it is smaller than the sum of its proper divisors (6001121952).

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

2421988128 is a wasteful number, since it uses less digits than its factorization.

2421988128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4644 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2421988128 is about 49213.6985807813. The cubic root of 2421988128 is about 1342.9422481060.

The spelling of 2421988128 in words is "two billion, four hundred twenty-one million, nine hundred eighty-eight thousand, one hundred twenty-eight".