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4295518968 = 23313231127269
BaseRepresentation
bin1000000000000100…
…00110101011111000
3102002100202222021010
410000002012223320
532244123101333
61550123513520
7211306210626
oct40002065370
912070688233
104295518968
111904787a84
129ba6888a0
13535c10a00
142ca6bc516
151a219b563
hex100086af8

4295518968 has 192 divisors, whose sum is σ = 12143001600. Its totient is φ = 1264273920.

The previous prime is 4295518967. The next prime is 4295519017. The reversal of 4295518968 is 8698155924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4295518967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15968338 + ... + 15968606.

It is an arithmetic number, because the mean of its divisors is an integer number (63244800).

Almost surely, 24295518968 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 4295518968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071500800).

4295518968 is an abundant number, since it is smaller than the sum of its proper divisors (7847482632).

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

4295518968 is a wasteful number, since it uses less digits than its factorization.

4295518968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 57.

The square root of 4295518968 is about 65540.2087881935. The cubic root of 4295518968 is about 1625.5682705831.

The spelling of 4295518968 in words is "four billion, two hundred ninety-five million, five hundred eighteen thousand, nine hundred sixty-eight".