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5441150016 = 2632174113553
BaseRepresentation
bin1010001000101000…
…10101110001000000
3112001012111001121200
411010110111301000
542120413300031
62255530421200
7251560004061
oct50424256100
915035431550
105441150016
1123424295a5
12107a291800
1368937a2c3
143988d8568
1521ca478e6
hex144515c40

5441150016 has 168 divisors, whose sum is σ = 16917506424. Its totient is φ = 1665269760.

The previous prime is 5441150009. The next prime is 5441150021. The reversal of 5441150016 is 6100511445.

5441150016 is a `hidden beast` number, since 544 + 115 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 857318400 + 4583831616 = 29280^2 + 67704^2 .

It is a super-2 number, since 2×54411500162 = 59212226993233600512, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 394696 + ... + 408248.

It is an arithmetic number, because the mean of its divisors is an integer number (100699443).

Almost surely, 25441150016 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 5441150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8458753212).

5441150016 is an abundant number, since it is smaller than the sum of its proper divisors (11476356408).

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

5441150016 is a wasteful number, since it uses less digits than its factorization.

5441150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629 (or 13616 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5441150016 is about 73764.1512931587. The cubic root of 5441150016 is about 1758.8557921036.

The spelling of 5441150016 in words is "five billion, four hundred forty-one million, one hundred fifty thousand, sixteen".