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216920024167 = 71167109738329
BaseRepresentation
bin1100101000000101110…
…0001110010001100111
3202201220112021222012011
43022001130032101213
512023223011233132
6243352432535051
721446323532350
oct3120134162147
9681815258164
10216920024167
1183aa4775850
123605a0b1487
13175bc8901b2
14a6db302d27
155998aeeb47
hex328170e467

216920024167 has 32 divisors (see below), whose sum is σ = 274739627520. Its totient is φ = 166349652480.

The previous prime is 216920024141. The next prime is 216920024221. The reversal of 216920024167 is 761420029612.

It is not a de Polignac number, because 216920024167 - 231 = 214772540519 is a prime.

It is a super-2 number, since 2×2169200241672 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216920024117) 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 31 ways as a sum of consecutive naturals, for example, 5640259 + ... + 5678587.

It is an arithmetic number, because the mean of its divisors is an integer number (8585613360).

Almost surely, 2216920024167 is an apocalyptic number.

216920024167 is a deficient number, since it is larger than the sum of its proper divisors (57819603353).

216920024167 is a wasteful number, since it uses less digits than its factorization.

216920024167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39511.

The product of its (nonzero) digits is 72576, while the sum is 40.

Subtracting 216920024167 from its reverse (761420029612), we obtain a palindrome (544500005445).

The spelling of 216920024167 in words is "two hundred sixteen billion, nine hundred twenty million, twenty-four thousand, one hundred sixty-seven".

Divisors: 1 7 11 67 77 469 737 1097 5159 7679 12067 38329 73499 84469 268303 421619 514493 808489 2568043 2951333 5659423 17976301 28248473 42046913 197739311 294328391 462516043 2817143171 3237612301 19720002197 30988574881 216920024167