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4442796864 = 263411174583
BaseRepresentation
bin1000010001100111…
…11011001101000000
3102110121220110120000
410020303323031000
533044323444424
62012504320000
7215045102352
oct41063731500
912417813500
104442796864
11197a930050
12a3ba73000
1355a5988ac
143020990d2
151b008e3c9
hex108cfb340

4442796864 has 280 divisors, whose sum is σ = 15215542848. Its totient is φ = 1266831360.

The previous prime is 4442796773. The next prime is 4442796887. The reversal of 4442796864 is 4686972444.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4442796864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 967117 + ... + 971699.

Almost surely, 24442796864 is an apocalyptic number.

4442796864 is a gapful number since it is divisible by the number (44) 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 4442796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607771424).

4442796864 is an abundant number, since it is smaller than the sum of its proper divisors (10772745984).

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

4442796864 is a wasteful number, since it uses less digits than its factorization.

4442796864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4616 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4442796864 is about 66654.3086679323. The cubic root of 4442796864 is about 1643.9381936378.

The spelling of 4442796864 in words is "four billion, four hundred forty-two million, seven hundred ninety-six thousand, eight hundred sixty-four".