Search a number
-
+
16257389148 = 2235731121331
BaseRepresentation
bin11110010010000010…
…00001001001011100
31112222000010221100000
433021001001021130
5231243342423043
611245112134300
71113605346000
oct171101011134
945860127300
1016257389148
116992966100
123198697390
1316c11b4cc0
14b03212700
156523d92d3
hex3c904125c

16257389148 has 864 divisors, whose sum is σ = 60728012800. Its totient is φ = 3772137600.

The previous prime is 16257389107. The next prime is 16257389191. The reversal of 16257389148 is 84198375261.

16257389148 is a `hidden beast` number, since 1 + 6 + 257 + 389 + 1 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16257389094 and 16257389103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 524431893 + ... + 524431923.

Almost surely, 216257389148 is an apocalyptic number.

16257389148 is a gapful number since it is divisible by the number (18) 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 16257389148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30364006400).

16257389148 is an abundant number, since it is smaller than the sum of its proper divisors (44470623652).

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

16257389148 is a wasteful number, since it uses less digits than its factorization.

16257389148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 16257389148 in words is "sixteen billion, two hundred fifty-seven million, three hundred eighty-nine thousand, one hundred forty-eight".