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2143615968 = 253313296581
BaseRepresentation
bin111111111000100…
…1111101111100000
312112101120222022000
41333301033233200
513342231202333
6552413044000
7104056302144
oct17761175740
95471528260
102143615968
11a0001944a
124b9a86600
1328214c520
141649a1224
15c82d0713
hex7fc4fbe0

2143615968 has 192 divisors, whose sum is σ = 6966388800. Its totient is φ = 636733440.

The previous prime is 2143615963. The next prime is 2143616029. The reversal of 2143615968 is 8695163412.

2143615968 is a `hidden beast` number, since 2 + 1 + 436 + 159 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143615961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322438 + ... + 329018.

It is an arithmetic number, because the mean of its divisors is an integer number (36283275).

Almost surely, 22143615968 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 2143615968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483194400).

2143615968 is an abundant number, since it is smaller than the sum of its proper divisors (4822772832).

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

2143615968 is a wasteful number, since it uses less digits than its factorization.

2143615968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6628 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2143615968 is about 46299.2005114559. The cubic root of 2143615968 is about 1289.3841516860.

The spelling of 2143615968 in words is "two billion, one hundred forty-three million, six hundred fifteen thousand, nine hundred sixty-eight".