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214095479877 = 3237642929369
BaseRepresentation
bin1100011101100100010…
…1011100010001000101
3202110121200102020211200
43013121011130101011
512001431420324002
6242204253053113
721316325360346
oct3073105342105
9673550366750
10214095479877
1182885353924
12355b0187199
131725c64b306
14a5101300cd
155880b67b1c
hex31d915c445

214095479877 has 12 divisors (see below), whose sum is σ = 317607108780. Its totient is φ = 138872743488.

The previous prime is 214095479861. The next prime is 214095479887. The reversal of 214095479877 is 778974590412.

214095479877 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 9 + 547 + 9 + 87 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195015859236 + 19079620641 = 441606^2 + 138129^2 .

It is not a de Polignac number, because 214095479877 - 24 = 214095479861 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214095479827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321464352 + ... + 321465017.

It is an arithmetic number, because the mean of its divisors is an integer number (26467259065).

Almost surely, 2214095479877 is an apocalyptic number.

It is an amenable number.

214095479877 is a deficient number, since it is larger than the sum of its proper divisors (103511628903).

214095479877 is a wasteful number, since it uses less digits than its factorization.

214095479877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642929412 (or 642929409 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 214095479877 in words is "two hundred fourteen billion, ninety-five million, four hundred seventy-nine thousand, eight hundred seventy-seven".

Divisors: 1 3 9 37 111 333 642929369 1928788107 5786364321 23788386653 71365159959 214095479877