Search a number
-
+
16122074112 = 2103723313
BaseRepresentation
bin11110000001111001…
…10101010000000000
31112121120112020000000
433000330311100000
5231004222332422
611223440000000
71110343240344
oct170074652000
945546466000
1016122074112
1169235439a1
12315b300000
13169c158231
14acd26b624
156455aacac
hex3c0f35400

16122074112 has 352 divisors, whose sum is σ = 50597909760. Its totient is φ = 5123948544.

The previous prime is 16122074063. The next prime is 16122074119. The reversal of 16122074112 is 21147022161.

16122074112 is a `hidden beast` number, since 1 + 612 + 2 + 0 + 7 + 41 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16122074119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 51508068 + ... + 51508380.

Almost surely, 216122074112 is an apocalyptic number.

16122074112 is a gapful number since it is divisible by the number (12) 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 16122074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25298954880).

16122074112 is an abundant number, since it is smaller than the sum of its proper divisors (34475835648).

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

16122074112 is an frugal number, since it uses more digits than its factorization.

16122074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 16122074112 its reverse (21147022161), we get a palindrome (37269096273).

The spelling of 16122074112 in words is "sixteen billion, one hundred twenty-two million, seventy-four thousand, one hundred twelve".