Search a number
-
+
10047045002166 = 233186056388929
BaseRepresentation
bin1001001000110100001010…
…0011000110001110110110
31022120111011211200222111000
42102031002203012032312
52304102322010032131
633211314310424130
72054606066305104
oct222150243061666
938514154628430
1010047045002166
113223a22a834a7
121163227062046
1357b58093c303
1426a3cb20cc74
15126530182ce6
hex923428c63b6

10047045002166 has 16 divisors (see below), whose sum is σ = 22326766671600. Its totient is φ = 3349015000704.

The previous prime is 10047045002147. The next prime is 10047045002167. The reversal of 10047045002166 is 66120054074001.

10047045002166 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 70 + 4 + 500 + 21 + 66 = 666.

It is a super-2 number, since 2×100470450021662 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10047045002166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047045002167) 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 7 ways as a sum of consecutive naturals, for example, 93028194411 + ... + 93028194518.

It is an arithmetic number, because the mean of its divisors is an integer number (1395422916975).

Almost surely, 210047045002166 is an apocalyptic number.

10047045002166 is an abundant number, since it is smaller than the sum of its proper divisors (12279721669434).

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

10047045002166 is a wasteful number, since it uses less digits than its factorization.

10047045002166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186056388940 (or 186056388934 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 10047045002166 its reverse (66120054074001), we get a palindrome (76167099076167).

The spelling of 10047045002166 in words is "ten trillion, forty-seven billion, forty-five million, two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 186056388929 372112777858 558169166787 1116338333574 1674507500361 3349015000722 5023522501083 10047045002166