Search a number
-
+
216672504634180 = 2257413111009120293
BaseRepresentation
bin110001010000111111111111…
…101010111101101101000100
31001102011200121101111221211201
4301100333333222331231010
5211344430242141243210
62044453550253512244
763432033436400410
oct6120777752755504
91042150541457751
10216672504634180
1163047325253091
12203746bb4a2684
1393b918b71189a
143b710102d7d40
151a0b23823c53a
hexc50fffabdb44

216672504634180 has 192 divisors, whose sum is σ = 534944222991360. Its totient is φ = 72170580787200.

The previous prime is 216672504634147. The next prime is 216672504634237. The reversal of 216672504634180 is 81436405276612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1801146114 + ... + 1801266406.

It is an arithmetic number, because the mean of its divisors is an integer number (2786167828080).

Almost surely, 2216672504634180 is an apocalyptic number.

216672504634180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216672504634180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267472111495680).

216672504634180 is an abundant number, since it is smaller than the sum of its proper divisors (318271718357180).

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

216672504634180 is a wasteful number, since it uses less digits than its factorization.

216672504634180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121670 (or 121668 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 216672504634180 in words is "two hundred sixteen trillion, six hundred seventy-two billion, five hundred four million, six hundred thirty-four thousand, one hundred eighty".