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29924418916 = 22723314136559
BaseRepresentation
bin11011110111101000…
…100110010101100100
32212020111001222121201
4123313220212111210
5442241122401131
621425212052244
72106361235560
oct336750462544
985214058551
1029924418916
1111766610927
125971764084
132a8b821172
14163c3b26a0
15ba2199761
hex6f7a26564

29924418916 has 96 divisors (see below), whose sum is σ = 66039644160. Its totient is φ = 11581574400.

The previous prime is 29924418913. The next prime is 29924418983. The reversal of 29924418916 is 61981442992.

It is not an unprimeable number, because it can be changed into a prime (29924418913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800245 + ... + 836803.

It is an arithmetic number, because the mean of its divisors is an integer number (687912960).

Almost surely, 229924418916 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 29924418916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33019822080).

29924418916 is an abundant number, since it is smaller than the sum of its proper divisors (36115225244).

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

29924418916 is a wasteful number, since it uses less digits than its factorization.

29924418916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36665 (or 36663 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 55.

The spelling of 29924418916 in words is "twenty-nine billion, nine hundred twenty-four million, four hundred eighteen thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 23 28 31 41 46 62 82 92 124 161 164 217 287 322 434 574 644 713 868 943 1148 1271 1426 1886 2542 2852 3772 4991 5084 6601 8897 9982 13202 17794 19964 26404 29233 35588 36559 58466 73118 116932 146236 204631 255913 409262 511826 818524 840857 1023652 1133329 1498919 1681714 2266658 2997838 3363428 4533316 5885999 5995676 7933303 10492433 11771998 15866606 20984866 23543996 26066567 31733212 34475137 41969732 46466489 52133134 68950274 92932978 104266268 137900548 182465969 185865956 241325959 325265423 364931938 482651918 650530846 729863876 965303836 1068729247 1301061692 2137458494 4274916988 7481104729 14962209458 29924418916