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16011116424 = 233528432897
BaseRepresentation
bin11101110100101011…
…00011111110001000
31112022211201222200000
432322111203332020
5230242321211144
611204433443000
71104525146502
oct167225437610
945284658600
1016011116424
116876948826
12312a110460
131682178cb4
14abc626d72
1563a98e769
hex3ba563f88

16011116424 has 96 divisors (see below), whose sum is σ = 45000839520. Its totient is φ = 5333319936.

The previous prime is 16011116423. The next prime is 16011116447. The reversal of 16011116424 is 42461111061.

16011116424 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 1 + 11 + 642 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16011116423) 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 23 ways as a sum of consecutive naturals, for example, 5525344 + ... + 5528240.

It is an arithmetic number, because the mean of its divisors is an integer number (468758745).

Almost surely, 216011116424 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 16011116424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500419760).

16011116424 is an abundant number, since it is smaller than the sum of its proper divisors (28989723096).

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

16011116424 is a wasteful number, since it uses less digits than its factorization.

16011116424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 16011116424 its reverse (42461111061), we get a palindrome (58472227485).

The spelling of 16011116424 in words is "sixteen billion, eleven million, one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 2843 2897 5686 5794 8529 8691 11372 11588 17058 17382 22744 23176 25587 26073 34116 34764 51174 52146 68232 69528 76761 78219 102348 104292 153522 156438 204696 208584 230283 234657 307044 312876 460566 469314 614088 625752 690849 703971 921132 938628 1381698 1407942 1842264 1877256 2763396 2815884 5526792 5631768 8236171 16472342 24708513 32944684 49417026 65889368 74125539 98834052 148251078 197668104 222376617 296502156 444753234 593004312 667129851 889506468 1334259702 1779012936 2001389553 2668519404 4002779106 5337038808 8005558212 16011116424