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16011106225 = 52253072
BaseRepresentation
bin11101110100101011…
…00001011110110001
31112022211201110200021
432322111201132301
5230242320344400
611204433323441
71104525104662
oct167225413661
945284643607
1016011106225
1168769410a4
12312a106581
13168217446a
14abc623369
1563a98b71a
hex3ba5617b1

16011106225 has 9 divisors (see below), whose sum is σ = 19854556267. Its totient is φ = 12808378840.

The previous prime is 16011106217. The next prime is 16011106271. The reversal of 16011106225 is 52260111061.

It is a happy number.

The square root of 16011106225 is 126535.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5763998241 + 10247107984 = 75921^2 + 101228^2 .

It is not a de Polignac number, because 16011106225 - 23 = 16011106217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16011106225.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 620022 + ... + 645328.

Almost surely, 216011106225 is an apocalyptic number.

16011106225 is the 126535-th square number.

16011106225 is the 63268-th centered octagonal number.

It is an amenable number.

16011106225 is a deficient number, since it is larger than the sum of its proper divisors (3843450042).

16011106225 is an frugal number, since it uses more digits than its factorization.

16011106225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50624 (or 25312 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Multiplying 16011106225 by its sum of digits (25), we get a square (400277655625 = 6326752).

16011106225 divided by its sum of digits (25) gives a square (640444249 = 253072).

Adding to 16011106225 its reverse (52260111061), we get a palindrome (68271217286).

The spelling of 16011106225 in words is "sixteen billion, eleven million, one hundred six thousand, two hundred twenty-five".

Divisors: 1 5 25 25307 126535 632675 640444249 3202221245 16011106225