Search a number
-
+
29856797376 = 2637314779193
BaseRepresentation
bin11011110011100110…
…101001001011000000
32212001202211110022020
4123303212221023000
5442121320004001
621414354441440
72104610406330
oct336346511300
985052743266
1029856797376
111173142485a
125952b93280
132a7a806113
14163340d0c0
15b9b28d736
hex6f39a92c0

29856797376 has 448 divisors, whose sum is σ = 96880558080. Its totient is φ = 7936081920.

The previous prime is 29856797339. The next prime is 29856797381. The reversal of 29856797376 is 67379765892.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 29856797376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154698336 + ... + 154698528.

Almost surely, 229856797376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29856797376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48440279040).

29856797376 is an abundant number, since it is smaller than the sum of its proper divisors (67023760704).

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

29856797376 is a wasteful number, since it uses less digits than its factorization.

29856797376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 69.

The spelling of 29856797376 in words is "twenty-nine billion, eight hundred fifty-six million, seven hundred ninety-seven thousand, three hundred seventy-six".