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1006864050225 = 352111220441273
BaseRepresentation
bin11101010011011011100…
…01100010100000110001
310120020220002100022020110
432221231301202200301
5112444024144101400
62050314050531533
7132513013134165
oct16515561424061
93506802308213
101006864050225
11359010564480
12143178896ba9
1373c40381b17
1436a37cd4ca5
151b2ce178e50
hexea6dc62831

1006864050225 has 24 divisors (see below), whose sum is σ = 1816016615712. Its totient is φ = 488176508800.

The previous prime is 1006864050223. The next prime is 1006864050233. The reversal of 1006864050225 is 5220504686001.

It is not a de Polignac number, because 1006864050225 - 21 = 1006864050223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006864050223) 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, 610219812 + ... + 610221461.

It is an arithmetic number, because the mean of its divisors is an integer number (75667358988).

Almost surely, 21006864050225 is an apocalyptic number.

1006864050225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006864050225 is a deficient number, since it is larger than the sum of its proper divisors (809152565487).

1006864050225 is a wasteful number, since it uses less digits than its factorization.

1006864050225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220441297 (or 1220441292 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 1006864050225 in words is "one trillion, six billion, eight hundred sixty-four million, fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1220441273 3661323819 6102206365 13424854003 18306619095 30511031825 40274562009 67124270015 91533095475 201372810045 335621350075 1006864050225