Search a number
-
+
216655132320 = 253451141101367
BaseRepresentation
bin1100100111000110100…
…1101111011010100000
3202201020001212001220000
43021301221233122200
512022202203213240
6243310251220000
721436626145044
oct3116151573240
9681201761800
10216655132320
11839791a0670
1235ba5447600
1317579a35463
14a6b406c024
155980728430
hex3271a6f6a0

216655132320 has 960 divisors, whose sum is σ = 865278070272. Its totient is φ = 50595840000.

The previous prime is 216655132301. The next prime is 216655132381. The reversal of 216655132320 is 23231556612.

216655132320 is a `hidden beast` number, since 2 + 1 + 66 + 551 + 3 + 23 + 20 = 666.

216655132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 590340777 + ... + 590341143.

Almost surely, 2216655132320 is an apocalyptic number.

216655132320 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 216655132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432639035136).

216655132320 is an abundant number, since it is smaller than the sum of its proper divisors (648622937952).

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

216655132320 is a wasteful number, since it uses less digits than its factorization.

216655132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 216655132320 its reverse (23231556612), we get a palindrome (239886688932).

The spelling of 216655132320 in words is "two hundred sixteen billion, six hundred fifty-five million, one hundred thirty-two thousand, three hundred twenty".