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4526112096 = 25321117312711
BaseRepresentation
bin1000011011100011…
…01111110101100000
3102200102200022120100
410031301233311200
533232141041341
62025042142400
7220106214042
oct41561576540
912612608510
104526112096
111a12966010
12a63951a00
13571919c4c
1430d185a92
151b754a3b6
hex10dc6fd60

4526112096 has 288 divisors, whose sum is σ = 15352436736. Its totient is φ = 1248768000.

The previous prime is 4526112089. The next prime is 4526112119. The reversal of 4526112096 is 6902116254.

4526112096 is a `hidden beast` number, since 4 + 526 + 1 + 120 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4526112096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668181 + ... + 1670891.

It is an arithmetic number, because the mean of its divisors is an integer number (53307072).

Almost surely, 24526112096 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 4526112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676218368).

4526112096 is an abundant number, since it is smaller than the sum of its proper divisors (10826324640).

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

4526112096 is a wasteful number, since it uses less digits than its factorization.

4526112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4526112096 is about 67276.3858720131. The cubic root of 4526112096 is about 1654.1508098968.

The spelling of 4526112096 in words is "four billion, five hundred twenty-six million, one hundred twelve thousand, ninety-six".