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216689337323291 = 73531667290318121
BaseRepresentation
bin110001010001001111101010…
…111110100100111100011011
31001102020022001111012011100202
4301101033222332210330123
5211400214230323321131
62044505412440452415
763433200532032650
oct6121175276447433
91042208044164322
10216689337323291
11630534829265a8
1220377a1877a10b
1393ba941b54961
143b71b69aa3c27
151a0b8c0db5bcb
hexc513eafa4f1b

216689337323291 has 32 divisors (see below), whose sum is σ = 248594796223488. Its totient is φ = 185022486190080.

The previous prime is 216689337323269. The next prime is 216689337323297. The reversal of 216689337323291 is 192323733986612.

It is a happy number.

It is not a de Polignac number, because 216689337323291 - 210 = 216689337322267 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216689337323297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11957903711 + ... + 11957921831.

It is an arithmetic number, because the mean of its divisors is an integer number (7768587381984).

Almost surely, 2216689337323291 is an apocalyptic number.

216689337323291 is a deficient number, since it is larger than the sum of its proper divisors (31905458900197).

216689337323291 is a wasteful number, since it uses less digits than its factorization.

216689337323291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23051.

The product of its digits is 105815808, while the sum is 65.

The spelling of 216689337323291 in words is "two hundred sixteen trillion, six hundred eighty-nine billion, three hundred thirty-seven million, three hundred twenty-three thousand, two hundred ninety-one".

Divisors: 1 7 353 1667 2471 2903 11669 18121 20321 126847 588451 1024759 4119157 4839301 6396713 7173313 30207707 33875107 44776991 52605263 211453949 368236841 1708273253 10663320571 11957912771 18569657839 74643243997 87692973421 129987604873 613850813947 30955619617613 216689337323291