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22135938849 = 336723951199
BaseRepresentation
bin10100100111011001…
…111001111100100001
32010010200200012112000
4110213121321330201
5330313300020344
614100305554213
71412356242603
oct244731717441
963120605460
1022135938849
11942a184542
124359345969
13211a06998b
1410ddc49173
15898531a69
hex527679f21

22135938849 has 32 divisors (see below), whose sum is σ = 33423360000. Its totient is φ = 14475927312.

The previous prime is 22135938841. The next prime is 22135938859. The reversal of 22135938849 is 94883953122.

22135938849 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 593 + 8 + 8 + 49 = 666.

It is not a de Polignac number, because 22135938849 - 23 = 22135938841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22135938795 and 22135938804.

It is not an unprimeable number, because it can be changed into a prime (22135938841) 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, 406752 + ... + 457950.

It is an arithmetic number, because the mean of its divisors is an integer number (1044480000).

Almost surely, 222135938849 is an apocalyptic number.

It is an amenable number.

22135938849 is a deficient number, since it is larger than the sum of its proper divisors (11287421151).

22135938849 is a wasteful number, since it uses less digits than its factorization.

22135938849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51514 (or 51508 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 22135938849 in words is "twenty-two billion, one hundred thirty-five million, nine hundred thirty-eight thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 67 201 239 603 717 1809 2151 6453 16013 48039 51199 144117 153597 432351 460791 1382373 3430333 10290999 12236561 30872997 36709683 92618991 110129049 330387147 819849587 2459548761 7378646283 22135938849