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216540011466 = 23225746809341
BaseRepresentation
bin1100100110101011001…
…0100101101111001010
3202200221001020022202200
43021222302211233022
512021433220331331
6243251015541030
721434030504532
oct3115262455712
9680831208680
10216540011466
118391a211669
1235b7298a776
131755bc292cc
14a6a2a624c2
1559755885e6
hex326aca5bca

216540011466 has 24 divisors (see below), whose sum is σ = 470995599204. Its totient is φ = 71899146240.

The previous prime is 216540011447. The next prime is 216540011477. The reversal of 216540011466 is 664110045612.

216540011466 is a `hidden beast` number, since 21 + 65 + 400 + 114 + 66 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198050810841 + 18489200625 = 445029^2 + 135975^2 .

It is a super-2 number, since 2×2165400114662 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216540011466.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23400045 + ... + 23409296.

Almost surely, 2216540011466 is an apocalyptic number.

216540011466 is an abundant number, since it is smaller than the sum of its proper divisors (254455587738).

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

216540011466 is a wasteful number, since it uses less digits than its factorization.

216540011466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46809606 (or 46809603 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 216540011466 in words is "two hundred sixteen billion, five hundred forty million, eleven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 257 514 771 1542 2313 4626 46809341 93618682 140428023 280856046 421284069 842568138 12030000637 24060001274 36090001911 72180003822 108270005733 216540011466