Search a number
-
+
29352772096 = 29314334271
BaseRepresentation
bin11011010101100011…
…111100001000000000
32210202122102022121021
4123111203330020000
5440103302201341
621252351435224
72056250306014
oct332543741000
983678368537
1029352772096
11114a296913a
125832225b14
1329ca271acb
1415c64ca544
15b6bdcc9d1
hex6d58fc200

29352772096 has 80 divisors (see below), whose sum is σ = 60694115328. Its totient is φ = 14166835200.

The previous prime is 29352772091. The next prime is 29352772151. The reversal of 29352772096 is 69027725392.

It is not an unprimeable number, because it can be changed into a prime (29352772091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6870441 + ... + 6874711.

Almost surely, 229352772096 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 29352772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30347057664).

29352772096 is an abundant number, since it is smaller than the sum of its proper divisors (31341343232).

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

29352772096 is an equidigital number, since it uses as much as digits as its factorization.

29352772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 29352772096 in words is "twenty-nine billion, three hundred fifty-two million, seven hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 433 496 512 866 992 1732 1984 3464 3968 4271 6928 7936 8542 13423 13856 15872 17084 26846 27712 34168 53692 55424 68336 107384 110848 132401 136672 214768 221696 264802 273344 429536 529604 546688 859072 1059208 1093376 1718144 1849343 2118416 2186752 3436288 3698686 4236832 6872576 7397372 8473664 14794744 16947328 29589488 33894656 57329633 59178976 67789312 114659266 118357952 229318532 236715904 458637064 473431808 917274128 946863616 1834548256 3669096512 7338193024 14676386048 29352772096