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416378691133 is a prime number
BaseRepresentation
bin1100000111100100001…
…10101001111000111101
31110210202010222002100221
412003302012221320331
523310220421104013
6515140504221341
742040152323056
oct6036206517075
91423663862327
10416378691133
11150648a09479
126884446a851
13303589b4a62
141621d54d72d
15ac6e79408d
hex60f21a9e3d

416378691133 has 2 divisors, whose sum is σ = 416378691134. Its totient is φ = 416378691132.

The previous prime is 416378691101. The next prime is 416378691137. The reversal of 416378691133 is 331196873614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292937490169 + 123441200964 = 541237^2 + 351342^2 .

It is a cyclic number.

It is not a de Polignac number, because 416378691133 - 25 = 416378691101 is a prime.

It is a super-3 number, since 3×4163786911333 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416378691137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208189345566 + 208189345567.

It is an arithmetic number, because the mean of its divisors is an integer number (208189345567).

Almost surely, 2416378691133 is an apocalyptic number.

It is an amenable number.

416378691133 is a deficient number, since it is larger than the sum of its proper divisors (1).

416378691133 is an equidigital number, since it uses as much as digits as its factorization.

416378691133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1959552, while the sum is 52.

The spelling of 416378691133 in words is "four hundred sixteen billion, three hundred seventy-eight million, six hundred ninety-one thousand, one hundred thirty-three".