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17956228900213 is a prime number
BaseRepresentation
bin1000001010100110000101…
…01001010010010101110101
32100120121011110120101210201
410011103002221102111311
54323143324044301323
6102104551102320501
73532203043221652
oct405230251222565
970517143511721
1017956228900213
1157a321510711a
122020054889131
13a0335a611226
1446112c432c29
152121392b38ad
hex1054c2a52575

17956228900213 has 2 divisors, whose sum is σ = 17956228900214. Its totient is φ = 17956228900212.

The previous prime is 17956228900177. The next prime is 17956228900217. The reversal of 17956228900213 is 31200982265971.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9389707733169 + 8566521167044 = 3064263^2 + 2926862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17956228900213 is a prime.

It is a super-2 number, since 2×179562289002132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17956228900217) 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 as a sum of consecutive naturals, namely, 8978114450106 + 8978114450107.

It is an arithmetic number, because the mean of its divisors is an integer number (8978114450107).

Almost surely, 217956228900213 is an apocalyptic number.

It is an amenable number.

17956228900213 is a deficient number, since it is larger than the sum of its proper divisors (1).

17956228900213 is an equidigital number, since it uses as much as digits as its factorization.

17956228900213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 17956228900213 in words is "seventeen trillion, nine hundred fifty-six billion, two hundred twenty-eight million, nine hundred thousand, two hundred thirteen".