Search a number
-
+
4066809696 = 253214120867
BaseRepresentation
bin1111001001100110…
…1001011101100000
3101111102102100010100
43302121221131200
531312100402241
61511313502400
7202531212015
oct36231513540
911442370110
104066809696
1117a7676354
12955b71a00
134ca714091
142a818570c
1518c0709b6
hexf2669760

4066809696 has 36 divisors (see below), whose sum is σ = 11564990892. Its totient is φ = 1355603136.

The previous prime is 4066809673. The next prime is 4066809701. The reversal of 4066809696 is 6969086604.

It is a happy number.

4066809696 is a `hidden beast` number, since 406 + 68 + 0 + 96 + 96 = 666.

4066809696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40668096962 = 33077882206959224832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7060146 + ... + 7060721.

It is an arithmetic number, because the mean of its divisors is an integer number (321249747).

Almost surely, 24066809696 is an apocalyptic number.

It is an amenable number.

4066809696 is an abundant number, since it is smaller than the sum of its proper divisors (7498181196).

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

4066809696 is a wasteful number, since it uses less digits than its factorization.

4066809696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14120883 (or 14120872 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 4066809696 is about 63771.5429952891. The cubic root of 4066809696 is about 1596.1901143494.

The spelling of 4066809696 in words is "four billion, sixty-six million, eight hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14120867 28241734 42362601 56483468 84725202 112966936 127087803 169450404 225933872 254175606 338900808 451867744 508351212 677801616 1016702424 1355603232 2033404848 4066809696