Search a number
-
+
2216457846603 = 327112132192331127
BaseRepresentation
bin100000010000001111001…
…011101011111101001011
321211220001202110202201200
4200100033023223331023
5242303301202042403
64414120543515243
7316063614562110
oct40201713537513
97756052422650
102216457846603
11784aa3742800
122b96932b8b23
1313101b452b00
14793c4644907
153c9c6235ca3
hex2040f2ebf4b

2216457846603 has 864 divisors, whose sum is σ = 4976651796480. Its totient is φ = 924712588800.

The previous prime is 2216457846539. The next prime is 2216457846607. The reversal of 2216457846603 is 3066487546122.

2216457846603 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 4 + 578 + 4 + 6 + 60 + 3 = 666.

2216457846603 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2216457846603 - 26 = 2216457846539 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2216457846603.

It is not an unprimeable number, because it can be changed into a prime (2216457846607) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 17452423926 + ... + 17452424052.

Almost surely, 22216457846603 is an apocalyptic number.

2216457846603 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2216457846603 is an abundant number, since it is smaller than the sum of its proper divisors (2760193949877).

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

2216457846603 is a wasteful number, since it uses less digits than its factorization.

2216457846603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2216457846603 in words is "two trillion, two hundred sixteen billion, four hundred fifty-seven million, eight hundred forty-six thousand, six hundred three".