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83077905401 is a prime number
BaseRepresentation
bin100110101011111010…
…1000011101111111001
321221102211201212110022
41031113311003233321
52330120420433101
6102055423500225
76000514354511
oct1152765035771
9257384655408
1083077905401
1132262347a57
1214126757675
137aac9c520a
144041860841
152263800a1b
hex1357d43bf9

83077905401 has 2 divisors, whose sum is σ = 83077905402. Its totient is φ = 83077905400.

The previous prime is 83077905311. The next prime is 83077905413. The reversal of 83077905401 is 10450977038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82265712400 + 812193001 = 286820^2 + 28499^2 .

It is a cyclic number.

It is not a de Polignac number, because 83077905401 - 214 = 83077889017 is a prime.

It is a super-4 number, since 4×830779054014 (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (83077905451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41538952700 + 41538952701.

It is an arithmetic number, because the mean of its divisors is an integer number (41538952701).

Almost surely, 283077905401 is an apocalyptic number.

It is an amenable number.

83077905401 is a deficient number, since it is larger than the sum of its proper divisors (1).

83077905401 is an equidigital number, since it uses as much as digits as its factorization.

83077905401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 83077905401 in words is "eighty-three billion, seventy-seven million, nine hundred five thousand, four hundred one".