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216428712721 = 1389229816857
BaseRepresentation
bin1100100110010000101…
…0000001001100010001
3202200122021210202120221
43021210022001030101
512021221222301341
6243232002233041
721431206463434
oct3114412011421
9680567722527
10216428712721
1183872403231
1235b41655781
1317541b5aa70
14a691d6d81b
15596a900ed1
hex3264281311

216428712721 has 16 divisors (see below), whose sum is σ = 236725448400. Its totient is φ = 196672785408.

The previous prime is 216428712707. The next prime is 216428712743. The reversal of 216428712721 is 127217824612.

It can be written as a sum of positive squares in 8 ways, for example, as 25459712721 + 190969000000 = 159561^2 + 437000^2 .

It is a cyclic number.

It is not a de Polignac number, because 216428712721 - 27 = 216428712593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216428712791) 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 15 ways as a sum of consecutive naturals, for example, 143476 + ... + 673381.

It is an arithmetic number, because the mean of its divisors is an integer number (14795340525).

Almost surely, 2216428712721 is an apocalyptic number.

It is an amenable number.

216428712721 is a deficient number, since it is larger than the sum of its proper divisors (20296735679).

216428712721 is a wasteful number, since it uses less digits than its factorization.

216428712721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817188.

The product of its digits is 150528, while the sum is 43.

The spelling of 216428712721 in words is "two hundred sixteen billion, four hundred twenty-eight million, seven hundred twelve thousand, seven hundred twenty-one".

Divisors: 1 13 89 229 1157 2977 20381 264953 816857 10619141 72700273 187060253 945103549 2431783289 16648362517 216428712721