Search a number
-
+
29796178460 = 225172341199467
BaseRepresentation
bin11011101111111111…
…011001101000011100
32211220112202200210012
4123233333121220130
5442010310202320
621404351302352
72103243223646
oct335777315034
984815680705
1029796178460
1111700190984
12593681a9b8
132a6b0a0539
14162934d896
15b95cb74c5
hex6effd9a1c

29796178460 has 192 divisors, whose sum is σ = 71327692800. Its totient is φ = 10393067520.

The previous prime is 29796178459. The next prime is 29796178463. The reversal of 29796178460 is 6487169792.

It is a self number, because there is not a number n which added to its sum of digits gives 29796178460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29796178463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63803147 + ... + 63803613.

It is an arithmetic number, because the mean of its divisors is an integer number (371498400).

Almost surely, 229796178460 is an apocalyptic number.

29796178460 is a gapful number since it is divisible by the number (20) 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 29796178460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663846400).

29796178460 is an abundant number, since it is smaller than the sum of its proper divisors (41531514340).

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

29796178460 is a wasteful number, since it uses less digits than its factorization.

29796178460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 29796178460 in words is "twenty-nine billion, seven hundred ninety-six million, one hundred seventy-eight thousand, four hundred sixty".