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4427218944 = 21735139
BaseRepresentation
bin1000001111110001…
…00000000000000000
3102102112121000200000
410013320200000000
533031332001234
62011150400000
7214465511601
oct40770400000
912375530600
104427218944
111972060135
12a36800000
135572a31a5
142ddda1da8
151ada13899
hex107e20000

4427218944 has 216 divisors, whose sum is σ = 13358807280. Its totient is φ = 1465122816.

The previous prime is 4427218907. The next prime is 4427218969. The reversal of 4427218944 is 4498127244.

4427218944 is a `hidden beast` number, since 4 + 427 + 2 + 189 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×44272189442 = 39200535156224950272, which contains 22 as substring.

Its product of digits (516096) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4427218944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850427 + ... + 31850565.

It is an arithmetic number, because the mean of its divisors is an integer number (61846330).

Almost surely, 24427218944 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 4427218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679403640).

4427218944 is an abundant number, since it is smaller than the sum of its proper divisors (8931588336).

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

4427218944 is an frugal number, since it uses more digits than its factorization.

4427218944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 144 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4427218944 is about 66537.3499923163. The cubic root of 4427218944 is about 1642.0145459695.

The spelling of 4427218944 in words is "four billion, four hundred twenty-seven million, two hundred eighteen thousand, nine hundred forty-four".