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2143966968 = 23341113171361
BaseRepresentation
bin111111111001010…
…0101011011111000
312112102020210210000
41333302211123320
513342323420333
6552424353000
7104062263363
oct17762453370
95472223700
102143966968
11a00239130
124ba015760
13282243210
14164a530da
15c834e713
hex7fca56f8

2143966968 has 320 divisors, whose sum is σ = 7475418720. Its totient is φ = 564019200.

The previous prime is 2143966963. The next prime is 2143966987. The reversal of 2143966968 is 8696693412.

It is a super-2 number, since 2×21439669682 = 9193188719750226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143966963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1574608 + ... + 1575968.

Almost surely, 22143966968 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 2143966968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737709360).

2143966968 is an abundant number, since it is smaller than the sum of its proper divisors (5331451752).

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

2143966968 is a wasteful number, since it uses less digits than its factorization.

2143966968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1407 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2143966968 is about 46302.9909185141. The cubic root of 2143966968 is about 1289.4545232986.

The spelling of 2143966968 in words is "two billion, one hundred forty-three million, nine hundred sixty-six thousand, nine hundred sixty-eight".