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4494698496 = 211324353107
BaseRepresentation
bin1000010111110011…
…11010100000000000
3102121020120100012200
410023321322200000
533201120322441
62022000553200
7216245210151
oct41371724000
912536510180
104494698496
1119a715a562
12a55322800
1356826b712
14308d29928
151b48e27b6
hex10be7a800

4494698496 has 288 divisors, whose sum is σ = 13660526880. Its totient is φ = 1422360576.

The previous prime is 4494698491. The next prime is 4494698503. The reversal of 4494698496 is 6948964944.

4494698496 is a `hidden beast` number, since 4 + 4 + 9 + 469 + 84 + 96 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (4494698491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42006475 + ... + 42006581.

It is an arithmetic number, because the mean of its divisors is an integer number (47432385).

Almost surely, 24494698496 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 4494698496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830263440).

4494698496 is an abundant number, since it is smaller than the sum of its proper divisors (9165828384).

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

4494698496 is a wasteful number, since it uses less digits than its factorization.

4494698496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The square root of 4494698496 is about 67042.5126020796. The cubic root of 4494698496 is about 1650.3150296556.

The spelling of 4494698496 in words is "four billion, four hundred ninety-four million, six hundred ninety-eight thousand, four hundred ninety-six".