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216393161472 = 283443242689
BaseRepresentation
bin1100100110001000001…
…0011001101100000000
3202200112210220120110000
43021202002121230000
512021133122131342
6243224252240000
721430265344455
oct3114202315400
9680483816400
10216393161472
1183854331034
1235b31770000
1317537691117
14a68b35782c
15596772c44c
hex3262099b00

216393161472 has 180 divisors, whose sum is σ = 660253677160. Its totient is φ = 70453297152.

The previous prime is 216393161471. The next prime is 216393161489. The reversal of 216393161472 is 274161393612.

216393161472 is a `hidden beast` number, since 2 + 1 + 639 + 3 + 1 + 6 + 1 + 4 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (216393161471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 770304 + ... + 1012992.

Almost surely, 2216393161472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216393161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330126838580).

216393161472 is an abundant number, since it is smaller than the sum of its proper divisors (443860515688).

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

216393161472 is an equidigital number, since it uses as much as digits as its factorization.

216393161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242760 (or 242737 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 216393161472 in words is "two hundred sixteen billion, three hundred ninety-three million, one hundred sixty-one thousand, four hundred seventy-two".