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29042050050 = 2325213219101199
BaseRepresentation
bin11011000011000010…
…101000010000000010
32202221222202000002100
4123003002220100002
5433434231100200
621201451531230
72045455231566
oct330302502002
982858660070
1029042050050
1111353531062
125766159b16
13297aa8b900
1415971256a6
15b4e9a1d00
hex6c30a8402

29042050050 has 432 divisors, whose sum is σ = 90268776000. Its totient is φ = 6671808000.

The previous prime is 29042050019. The next prime is 29042050057. The reversal of 29042050050 is 5005024092.

29042050050 is a `hidden beast` number, since 2 + 90 + 4 + 20 + 500 + 50 = 666.

It is a super-2 number, since 2×290420500502 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29042049996 and 29042050023.

It is not an unprimeable number, because it can be changed into a prime (29042050057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 145939851 + ... + 145940049.

It is an arithmetic number, because the mean of its divisors is an integer number (208955500).

Almost surely, 229042050050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29042050050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45134388000).

29042050050 is an abundant number, since it is smaller than the sum of its proper divisors (61226725950).

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

29042050050 is a wasteful number, since it uses less digits than its factorization.

29042050050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 29042050050 in words is "twenty-nine billion, forty-two million, fifty thousand, fifty".