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2128114296 = 23367211677
BaseRepresentation
bin111111011011000…
…0111001001111000
312111022102102000000
41332312013021320
513324244124141
6551100513000
7103510446600
oct17666071170
95438372000
102128114296
119a22a0850
124b484b760
1327bb82739
141628c7c00
15c6c6c5b6
hex7ed87278

2128114296 has 336 divisors, whose sum is σ = 7603214040. Its totient is φ = 551940480.

The previous prime is 2128114283. The next prime is 2128114309. The reversal of 2128114296 is 6924118212.

2128114296 is a `hidden beast` number, since 212 + 8 + 11 + 429 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2128114283) and next prime (2128114309).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2128114296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3143110 + ... + 3143786.

Almost surely, 22128114296 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 2128114296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801607020).

2128114296 is an abundant number, since it is smaller than the sum of its proper divisors (5475099744).

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

2128114296 is a wasteful number, since it uses less digits than its factorization.

2128114296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 700 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2128114296 is about 46131.4892020624. The cubic root of 2128114296 is about 1286.2685461716.

The spelling of 2128114296 in words is "two billion, one hundred twenty-eight million, one hundred fourteen thousand, two hundred ninety-six".