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29844244892 = 22711241214849
BaseRepresentation
bin11011110010110110…
…110000100110011100
32212000220012201112102
4123302312300212130
5442110111314032
621413225424232
72104365616220
oct336266604634
985026181472
1029844244892
1111725330a00
12594a93b078
132a7802c807
1416318a2780
15b9a10e362
hex6f2db099c

29844244892 has 72 divisors (see below), whose sum is σ = 67208517600. Its totient is φ = 11343974400.

The previous prime is 29844244883. The next prime is 29844244919.

29844244892 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31484 + ... + 246332.

Almost surely, 229844244892 is an apocalyptic number.

29844244892 is a gapful number since it is divisible by the number (22) 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 29844244892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33604258800).

29844244892 is an abundant number, since it is smaller than the sum of its proper divisors (37364272708).

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

29844244892 is a wasteful number, since it uses less digits than its factorization.

29844244892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214923 (or 214910 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 56.

The spelling of 29844244892 in words is "twenty-nine billion, eight hundred forty-four million, two hundred forty-four thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 121 154 164 242 287 308 451 484 574 847 902 1148 1694 1804 3157 3388 4961 6314 9922 12628 19844 34727 69454 138908 214849 429698 859396 1503943 2363339 3007886 4726678 6015772 8808809 9453356 16543373 17617618 25996729 33086746 35235236 51993458 61661663 66173492 96896899 103986916 123323326 181977103 193793798 246646652 363954206 387587596 678278293 727908412 1065865889 1356556586 2131731778 2713113172 4263463556 7461061223 14922122446 29844244892