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4426278912 = 211331119383
BaseRepresentation
bin1000001111101001…
…11010100000000000
3102102110211021012000
410013310322200000
533031111411122
62011114304000
7214454515146
oct40764724000
912373737160
104426278912
111971578950
12a36428000
13557034363
142ddbd9596
151ad8ca0ac
hex107d3a800

4426278912 has 384 divisors, whose sum is σ = 15095808000. Its totient is φ = 1267384320.

The previous prime is 4426278911. The next prime is 4426278929. The reversal of 4426278912 is 2198726244.

4426278912 is a `hidden beast` number, since 4 + 4 + 2 + 627 + 8 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4426278911) 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, 11556673 + ... + 11557055.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 24426278912 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 4426278912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904000).

4426278912 is an abundant number, since it is smaller than the sum of its proper divisors (10669529088).

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

4426278912 is a wasteful number, since it uses less digits than its factorization.

4426278912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4426278912 is about 66530.2856750217. The cubic root of 4426278912 is about 1641.8983213525.

The spelling of 4426278912 in words is "four billion, four hundred twenty-six million, two hundred seventy-eight thousand, nine hundred twelve".