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416378691101 is a prime number
BaseRepresentation
bin1100000111100100001…
…10101001111000011101
31110210202010222002022202
412003302012221320131
523310220421103401
6515140504221245
742040152323012
oct6036206517035
91423663862282
10416378691101
11150648a0944a
126884446a825
13303589b4a39
141621d54d709
15ac6e79406b
hex60f21a9e1d

416378691101 has 2 divisors, whose sum is σ = 416378691102. Its totient is φ = 416378691100.

The previous prime is 416378691083. The next prime is 416378691133. The reversal of 416378691101 is 101196873614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 416378535076 + 156025 = 645274^2 + 395^2 .

It is a cyclic number.

It is not a de Polignac number, because 416378691101 - 26 = 416378691037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416378691161) 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, 208189345550 + 208189345551.

It is an arithmetic number, because the mean of its divisors is an integer number (208189345551).

Almost surely, 2416378691101 is an apocalyptic number.

It is an amenable number.

416378691101 is a deficient number, since it is larger than the sum of its proper divisors (1).

416378691101 is an equidigital number, since it uses as much as digits as its factorization.

416378691101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 47.

The spelling of 416378691101 in words is "four hundred sixteen billion, three hundred seventy-eight million, six hundred ninety-one thousand, one hundred one".