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29990215360 = 2657531571609
BaseRepresentation
bin11011111011100011…
…100101111011000000
32212102001212210101001
4123323203211323000
5442404443342420
621435522221344
72111120424130
oct337343457300
985361783331
1029990215360
111179a770756
12598b7b4854
132a9c34a581
14164701cac0
15ba7d44b0a
hex6fb8e5ec0

29990215360 has 224 divisors, whose sum is σ = 83737825920. Its totient is φ = 10017865728.

The previous prime is 29990215351. The next prime is 29990215397. The reversal of 29990215360 is 6351209992.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 29990215360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18638236 + ... + 18639844.

It is an arithmetic number, because the mean of its divisors is an integer number (373829580).

Almost surely, 229990215360 is an apocalyptic number.

29990215360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29990215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868912960).

29990215360 is an abundant number, since it is smaller than the sum of its proper divisors (53747610560).

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

29990215360 is a wasteful number, since it uses less digits than its factorization.

29990215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

It can be divided in two parts, 29990 and 215360, that added together give a triangular number (245350 = T700).

The spelling of 29990215360 in words is "twenty-nine billion, nine hundred ninety million, two hundred fifteen thousand, three hundred sixty".