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16938437285 = 5711223173897
BaseRepresentation
bin11111100011001110…
…00000101010100101
31121201110122202202002
433301213000222211
5234142214443120
611440441255045
71136515225040
oct176147005245
947643582662
1016938437285
117202340700
123348794485
13179c31a073
14b69855c57
156920b6375
hex3f19c0aa5

16938437285 has 48 divisors (see below), whose sum is σ = 26643955968. Its totient is φ = 10099879680.

The previous prime is 16938437273. The next prime is 16938437303. The reversal of 16938437285 is 58273483961.

16938437285 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16938437285 - 212 = 16938433189 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16938437285.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10457 + ... + 184353.

It is an arithmetic number, because the mean of its divisors is an integer number (555082416).

Almost surely, 216938437285 is an apocalyptic number.

It is an amenable number.

16938437285 is a deficient number, since it is larger than the sum of its proper divisors (9705518683).

16938437285 is a wasteful number, since it uses less digits than its factorization.

16938437285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173954 (or 173943 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 56.

The spelling of 16938437285 in words is "sixteen billion, nine hundred thirty-eight million, four hundred thirty-seven thousand, two hundred eighty-five".

Divisors: 1 5 7 11 23 35 55 77 115 121 161 253 385 605 805 847 1265 1771 2783 4235 8855 13915 19481 97405 173897 869485 1217279 1912867 3999631 6086395 9564335 13390069 19998155 21041537 27997417 43995941 66950345 105207685 139987085 147290759 219979705 307971587 483955351 736453795 1539857935 2419776755 3387687457 16938437285