Search a number
-
+
6600146355625 = 541027632
BaseRepresentation
bin110000000001011011101…
…1000010000010110101001
3212100222010112210020120011
41200002313120100112221
51331114044431340000
622012022042131521
71250562531240034
oct140026730202651
925328115706504
106600146355625
112115119609109
128a719b7b0ba1
1338b511411464
1418b63d69001b
15b6a41ab52ba
hex600b76105a9

6600146355625 has 15 divisors (see below), whose sum is σ = 8247623144673. Its totient is φ = 5280065703000.

The previous prime is 6600146355617. The next prime is 6600146355629. The reversal of 6600146355625 is 5265536410066.

The square root of 6600146355625 is 2569075.

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

6600146355625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 517451474281 + 6082694881344 = 719341^2 + 2466312^2 .

It is not a de Polignac number, because 6600146355625 - 23 = 6600146355617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6600146355629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64175494 + ... + 64278256.

Almost surely, 26600146355625 is an apocalyptic number.

6600146355625 is the 2569075-th square number.

6600146355625 is the 1284538-th centered octagonal number.

It is an amenable number.

6600146355625 is a deficient number, since it is larger than the sum of its proper divisors (1647476789048).

6600146355625 is an frugal number, since it uses more digits than its factorization.

6600146355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205546 (or 102768 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 49.

Multiplying 6600146355625 by its sum of digits (49), we get a square (323407171425625 = 179835252).

The spelling of 6600146355625 in words is "six trillion, six hundred billion, one hundred forty-six million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 102763 513815 2569075 12845375 64226875 10560234169 52801170845 264005854225 1320029271125 6600146355625