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214080097777 = 7133317107337
BaseRepresentation
bin1100011101100000101…
…0110000110111110001
3202110120121110202120021
43013120022300313301
512001414001112102
6242202543243441
721316050543520
oct3073012606761
9673517422507
10214080097777
11828776a8047
12355a6ba9581
13172593c3a90
14a50c0884b7
15587e62a137
hex31d82b0df1

214080097777 has 16 divisors (see below), whose sum is σ = 264279256192. Its totient is φ = 168870303360.

The previous prime is 214080097771. The next prime is 214080097789. The reversal of 214080097777 is 777790080412.

It is a happy number.

214080097777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 214080097777 - 223 = 214071709169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214080097771) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3523548 + ... + 3583789.

It is an arithmetic number, because the mean of its divisors is an integer number (16517453512).

Almost surely, 2214080097777 is an apocalyptic number.

It is an amenable number.

214080097777 is a deficient number, since it is larger than the sum of its proper divisors (50199158415).

214080097777 is a wasteful number, since it uses less digits than its factorization.

214080097777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107688.

The product of its (nonzero) digits is 1382976, while the sum is 52.

The spelling of 214080097777 in words is "two hundred fourteen billion, eighty million, ninety-seven thousand, seven hundred seventy-seven".

Divisors: 1 7 13 91 331 2317 4303 30121 7107337 49751359 92395381 646767667 2352528547 16467699829 30582871111 214080097777