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83409167425 = 5211329525369
BaseRepresentation
bin100110110101110010…
…0101110010001000001
321222021221001201112011
41031223210232101001
52331310221324200
6102152335532521
76011646140143
oct1155344562101
9258257051464
1083409167425
1132412334021
12141b968a141
137b3351a54c
144073850c93
1522829375ba
hex136b92e441

83409167425 has 12 divisors (see below), whose sum is σ = 104342657580. Its totient is φ = 66136824320.

The previous prime is 83409167399. The next prime is 83409167431. The reversal of 83409167425 is 52476190438.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8700971841 + 74708195584 = 93279^2 + 273328^2 .

It is a de Polignac number, because none of the positive numbers 2k-83409167425 is a prime.

It is a super-2 number, since 2×834091674252 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14759860 + ... + 14765509.

It is an arithmetic number, because the mean of its divisors is an integer number (8695221465).

It is a 1-persistent number, because it is pandigital, but 2⋅83409167425 = 166818334850 is not.

Almost surely, 283409167425 is an apocalyptic number.

It is an amenable number.

83409167425 is a deficient number, since it is larger than the sum of its proper divisors (20933490155).

83409167425 is a wasteful number, since it uses less digits than its factorization.

83409167425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29525492 (or 29525487 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 83409167425 in words is "eighty-three billion, four hundred nine million, one hundred sixty-seven thousand, four hundred twenty-five".

Divisors: 1 5 25 113 565 2825 29525369 147626845 738134225 3336366697 16681833485 83409167425