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2128801248 = 2532723311481
BaseRepresentation
bin111111011100010…
…1110110111100000
312111100201022022200
41332320232313200
513324433114443
6551123333200
7103516340430
oct17670566740
95440638280
102128801248
119a271a982
124b4b21200
1327c063312
14162a262c0
15c6d55dd3
hex7ee2ede0

2128801248 has 288 divisors, whose sum is σ = 7457329152. Its totient is φ = 562636800.

The previous prime is 2128801247. The next prime is 2128801261. The reversal of 2128801248 is 8421088212.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128801247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436668 + ... + 1438148.

It is an arithmetic number, because the mean of its divisors is an integer number (25893504).

Almost surely, 22128801248 is an apocalyptic number.

2128801248 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 2128801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728664576).

2128801248 is an abundant number, since it is smaller than the sum of its proper divisors (5328527904).

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

2128801248 is a wasteful number, since it uses less digits than its factorization.

2128801248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2128801248 is about 46138.9341879502. The cubic root of 2128801248 is about 1286.4069331140.

The spelling of 2128801248 in words is "two billion, one hundred twenty-eight million, eight hundred one thousand, two hundred forty-eight".