Search a number
-
+
29441220768 = 2533301111317
BaseRepresentation
bin11011011010110101…
…010110000010100000
32210222210211222101000
4123122311112002200
5440243423031033
621305231312000
72061403150611
oct333265260240
983883758330
1029441220768
111153888aa13
12585797b600
132a1269c8bb
1415d4151c08
15b74a4ea13
hex6dad560a0

29441220768 has 96 divisors (see below), whose sum is σ = 85906336320. Its totient is φ = 9809614080.

The previous prime is 29441220763. The next prime is 29441220793. The reversal of 29441220768 is 86702214492.

29441220768 is a `hidden beast` number, since 29 + 4 + 412 + 207 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×294412207682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29441220763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595846 + ... + 2607162.

It is an arithmetic number, because the mean of its divisors is an integer number (894857670).

Almost surely, 229441220768 is an apocalyptic number.

It is an amenable number.

29441220768 is an abundant number, since it is smaller than the sum of its proper divisors (56465115552).

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

29441220768 is a wasteful number, since it uses less digits than its factorization.

29441220768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 29441220768 in words is "twenty-nine billion, four hundred forty-one million, two hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3011 6022 9033 11317 12044 18066 22634 24088 27099 33951 36132 45268 48176 54198 67902 72264 81297 90536 96352 101853 108396 135804 144528 162594 181072 203706 216792 271608 289056 305559 325188 362144 407412 433584 543216 611118 650376 814824 867168 1086432 1222236 1300752 1629648 2444472 2601504 3259296 4888944 9777888 34075487 68150974 102226461 136301948 204452922 272603896 306679383 408905844 545207792 613358766 817811688 920038149 1090415584 1226717532 1635623376 1840076298 2453435064 3271246752 3680152596 4906870128 7360305192 9813740256 14720610384 29441220768