Search a number
-
+
29006798968 = 23711321412
BaseRepresentation
bin11011000000111100…
…001010000001111000
32202212112102001200201
4123000330022001320
5433401220031333
621154152211544
72044546503010
oct330074120170
982775361621
1029006798968
1111335644434
125756399bb4
132973698794
14159258ac40
15b4b83c17d
hex6c0f0a078

29006798968 has 48 divisors (see below), whose sum is σ = 62736794640. Its totient is φ = 12315717120.

The previous prime is 29006798959. The next prime is 29006799011. The reversal of 29006798968 is 86989760092.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13547178 + ... + 13549318.

It is an arithmetic number, because the mean of its divisors is an integer number (1307016555).

Almost surely, 229006798968 is an apocalyptic number.

29006798968 is a gapful number since it is divisible by the number (28) 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 29006798968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31368397320).

29006798968 is an abundant number, since it is smaller than the sum of its proper divisors (33729995672).

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

29006798968 is an equidigital number, since it uses as much as digits as its factorization.

29006798968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

The spelling of 29006798968 in words is "twenty-nine billion, six million, seven hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 2141 3164 4282 6328 8564 14987 17128 29974 59948 119896 241933 483866 967732 1693531 1935464 3387062 4583881 6774124 9167762 13548248 18335524 32087167 36671048 64174334 128348668 256697336 517978553 1035957106 2071914212 3625849871 4143828424 7251699742 14503399484 29006798968