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16637130225 = 325285992
BaseRepresentation
bin11110111111010011…
…00111010111110001
31120221110200210011100
433133221213113301
5233033101131400
611350515235013
71126166162562
oct173751472761
946843623140
1016637130225
117068254201
1232838a8a69
131751a82371
14b3b822169
156758ea100
hex3dfa675f1

16637130225 has 27 divisors (see below), whose sum is σ = 29802414603. Its totient is φ = 8872104240.

The previous prime is 16637130217. The next prime is 16637130229. The reversal of 16637130225 is 52203173661.

The square root of 16637130225 is 128985.

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

16637130225 is a `hidden beast` number, since 1 + 6 + 637 + 13 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5989366881 + 10647763344 = 77391^2 + 103188^2 .

It is not a de Polignac number, because 16637130225 - 23 = 16637130217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16637130225.

It is not an unprimeable number, because it can be changed into a prime (16637130229) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1930476 + ... + 1939074.

Almost surely, 216637130225 is an apocalyptic number.

16637130225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16637130225 is the 128985-th square number.

16637130225 is the 64493-rd centered octagonal number.

It is an amenable number.

16637130225 is a deficient number, since it is larger than the sum of its proper divisors (13165284378).

16637130225 is an frugal number, since it uses more digits than its factorization.

16637130225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17214 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 16637130225 by its sum of digits (36), we get a square (598936688100 = 7739102).

The spelling of 16637130225 in words is "sixteen billion, six hundred thirty-seven million, one hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 8599 25797 42995 77391 128985 214975 386955 644925 1934775 73942801 221828403 369714005 665485209 1109142015 1848570025 3327426045 5545710075 16637130225