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217290638879 = 17294013109831
BaseRepresentation
bin1100101001011110001…
…0000000011000011111
3202202212100200010222222
43022113202000120133
512030002400421004
6243453312255555
721461443645616
oct3122742003037
9682770603888
10217290638879
11841749a00a6
12361422415bb
131764b5b3542
14a73461887d
1559bb40b7be
hex329788061f

217290638879 has 16 divisors (see below), whose sum is σ = 238067449920. Its totient is φ = 197405806080.

The previous prime is 217290638869. The next prime is 217290638891. The reversal of 217290638879 is 978836092712.

It is a de Polignac number, because none of the positive numbers 2k-217290638879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217290638849) 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 15 ways as a sum of consecutive naturals, for example, 1923494 + ... + 2033324.

It is an arithmetic number, because the mean of its divisors is an integer number (14879215620).

Almost surely, 2217290638879 is an apocalyptic number.

217290638879 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

217290638879 is a deficient number, since it is larger than the sum of its proper divisors (20776811041).

217290638879 is a wasteful number, since it uses less digits than its factorization.

217290638879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113890.

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 217290638879 in words is "two hundred seventeen billion, two hundred ninety million, six hundred thirty-eight thousand, eight hundred seventy-nine".

Divisors: 1 17 29 493 4013 68221 109831 116377 1867127 1978409 3185099 54146683 440751803 7492780651 12781802287 217290638879