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4466116644 = 2231133834217
BaseRepresentation
bin1000010100011001…
…11000100000100100
3102112020210020021120
410022030320200210
533121311213034
62015100213540
7215450236143
oct41214704044
912466706246
104466116644
1119920085a0
12a4783a2b0
13562372092
1430520975a
151b2148c49
hex10a338824

4466116644 has 24 divisors (see below), whose sum is σ = 11368297248. Its totient is φ = 1353368640.

The previous prime is 4466116637. The next prime is 4466116651.

4466116644 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4466116637) and next prime (4466116651).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4466116596 and 4466116605.

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 7 ways as a sum of consecutive naturals, for example, 16916977 + ... + 16917240.

It is an arithmetic number, because the mean of its divisors is an integer number (473679052).

Almost surely, 24466116644 is an apocalyptic number.

4466116644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4466116644 is an abundant number, since it is smaller than the sum of its proper divisors (6902180604).

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

4466116644 is a wasteful number, since it uses less digits than its factorization.

4466116644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33834235 (or 33834233 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4466116644 is about 66829.0104969391. The cubic root of 4466116644 is about 1646.8094628488.

The spelling of 4466116644 in words is "four billion, four hundred sixty-six million, one hundred sixteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 33834217 67668434 101502651 135336868 203005302 372176387 406010604 744352774 1116529161 1488705548 2233058322 4466116644