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4497445968 = 2438310111177
BaseRepresentation
bin1000011000001000…
…11001010001010000
3102121102201221000220
410030010121101100
533202321232333
62022135513040
7216310442241
oct41404312120
912542657026
104497445968
1119a87667a4
12a56228780
135689c1142
14309442cc8
151b4c868b3
hex10c119450

4497445968 has 80 divisors (see below), whose sum is σ = 11875864896. Its totient is φ = 1466291200.

The previous prime is 4497445961. The next prime is 4497446011. The reversal of 4497445968 is 8695447944.

It is a Cunningham number, because it is equal to 670632-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4497445961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396796 + ... + 407972.

Almost surely, 24497445968 is an apocalyptic number.

4497445968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4497445968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937932448).

4497445968 is an abundant number, since it is smaller than the sum of its proper divisors (7378418928).

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

4497445968 is a wasteful number, since it uses less digits than its factorization.

4497445968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372 (or 11366 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The square root of 4497445968 is about 67062.9999925443. Note that the first 5 decimals coincide. The cubic root of 4497445968 is about 1650.6512235651.

The spelling of 4497445968 in words is "four billion, four hundred ninety-seven million, four hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 101 166 202 249 303 332 404 498 606 664 808 996 1212 1328 1616 1992 2424 3984 4848 8383 11177 16766 22354 25149 33531 33532 44708 50298 67062 67064 89416 100596 134124 134128 178832 201192 268248 402384 536496 927691 1128877 1855382 2257754 2783073 3386631 3710764 4515508 5566146 6773262 7421528 9031016 11132292 13546524 14843056 18062032 22264584 27093048 44529168 54186096 93696791 187393582 281090373 374787164 562180746 749574328 1124361492 1499148656 2248722984 4497445968