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214360666081 = 71265212
BaseRepresentation
bin1100011110100011100…
…1000010111111100001
3202111022011102002220221
43013220321002333201
512003002312303311
6242250445003041
721326025412102
oct3075071027741
9674264362827
10214360666081
1182a0100a181
1235664b53481
13172a257a023
14a5374403a9
15589909b671
hex31e8e42fe1

214360666081 has 9 divisors (see below), whose sum is σ = 217455700819. Its totient is φ = 211309092400.

The previous prime is 214360666063. The next prime is 214360666181. The reversal of 214360666081 is 180666063412.

It is a happy number.

The square root of 214360666081 is 462991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 198745664481 + 15615001600 = 445809^2 + 124960^2 .

It is not a de Polignac number, because 214360666081 - 215 = 214360633313 is a prime.

It is a super-2 number, since 2×2143606660812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214360666021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32869101 + ... + 32875621.

Almost surely, 2214360666081 is an apocalyptic number.

214360666081 is the 462991-st square number.

214360666081 is the 231496-th centered octagonal number.

It is an amenable number.

214360666081 is a deficient number, since it is larger than the sum of its proper divisors (3095034738).

214360666081 is an frugal number, since it uses more digits than its factorization.

214360666081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13184 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 214360666081 in words is "two hundred fourteen billion, three hundred sixty million, six hundred sixty-six thousand, eighty-one".

Divisors: 1 71 5041 6521 462991 32872361 42523441 3019164311 214360666081