Search a number
-
+
16914285059392 = 2672101321532473
BaseRepresentation
bin1111011000100010100111…
…1100111101110101000000
32012212222201121102002111201
43312020221330331311000
54204110423433400032
655550152033550544
73364005515546500
oct366105174756500
965788647362451
1016914285059392
115431342a63876
121a92127a15454
1395901964c786
144269275c1a00
151e4ea55978e7
hexf6229f3dd40

16914285059392 has 168 divisors, whose sum is σ = 39116674472616. Its totient is φ = 7235532767232.

The previous prime is 16914285059377. The next prime is 16914285059401. The reversal of 16914285059392 is 29395058241961.

It can be written as a sum of positive squares in 4 ways, for example, as 184679905536 + 16729605153856 = 429744^2 + 4090184^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6839580268 + ... + 6839582740.

Almost surely, 216914285059392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16914285059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19558337236308).

16914285059392 is an abundant number, since it is smaller than the sum of its proper divisors (22202389413224).

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

16914285059392 is a wasteful number, since it uses less digits than its factorization.

16914285059392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 64.

The spelling of 16914285059392 in words is "sixteen trillion, nine hundred fourteen billion, two hundred eighty-five million, fifty-nine thousand, three hundred ninety-two".