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29193049296 = 2434145915439
BaseRepresentation
bin11011001100000010…
…101001010011010000
32210100111212120010000
4123030002221103100
5434241410034141
621224444210000
72052300552615
oct331402512320
983314776100
1029193049296
1111420796024
1257a8839900
1329a314a588
1415ad1d050c
15b5cd7c5b6
hex6cc0a94d0

29193049296 has 100 divisors (see below), whose sum is σ = 84556542400. Its totient is φ = 9723716928.

The previous prime is 29193049279. The next prime is 29193049309. The reversal of 29193049296 is 69294039192.

29193049296 is a `hidden beast` number, since 29 + 19 + 30 + 492 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1883145 + ... + 1898583.

It is an arithmetic number, because the mean of its divisors is an integer number (845565424).

Almost surely, 229193049296 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 29193049296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42278271200).

29193049296 is an abundant number, since it is smaller than the sum of its proper divisors (55363493104).

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

29193049296 is a wasteful number, since it uses less digits than its factorization.

29193049296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16918 (or 16903 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 29193049296 in words is "twenty-nine billion, one hundred ninety-three million, forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1459 2918 4377 5836 8754 11672 13131 15439 17508 23344 26262 30878 35016 39393 46317 52524 61756 70032 78786 92634 105048 118179 123512 138951 157572 185268 210096 236358 247024 277902 315144 370536 416853 472716 555804 630288 741072 833706 945432 1111608 1250559 1667412 1890864 2223216 2501118 3334824 5002236 6669648 10004472 20008944 22525501 45051002 67576503 90102004 135153006 180204008 202729509 270306012 360408016 405459018 540612024 608188527 810918036 1081224048 1216377054 1621836072 1824565581 2432754108 3243672144 3649131162 4865508216 7298262324 9731016432 14596524648 29193049296