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409160985437 = 17238110108481
BaseRepresentation
bin1011111010000111110…
…01010010101101011101
31110010010010120122111202
411331003321102231131
523200430203013222
6511544351525245
741363250664241
oct5750371225535
91403103518452
10409160985437
11148584789346
126736b229825
132c778565799
1415b36b22421
15a99acc4892
hex5f43e52b5d

409160985437 has 8 divisors (see below), whose sum is σ = 433411274232. Its totient is φ = 384930918400.

The previous prime is 409160985421. The next prime is 409160985439. The reversal of 409160985437 is 734589061904.

It can be written as a sum of positive squares in 4 ways, for example, as 496131076 + 408664854361 = 22274^2 + 639269^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 409160985437 - 24 = 409160985421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409160985439) 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 in 7 ways as a sum of consecutive naturals, for example, 5013764 + ... + 5094717.

It is an arithmetic number, because the mean of its divisors is an integer number (54176409279).

Almost surely, 2409160985437 is an apocalyptic number.

It is an amenable number.

409160985437 is a deficient number, since it is larger than the sum of its proper divisors (24250288795).

409160985437 is a wasteful number, since it uses less digits than its factorization.

409160985437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110879.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 409160985437 in words is "four hundred nine billion, one hundred sixty million, nine hundred eighty-five thousand, four hundred thirty-seven".

Divisors: 1 17 2381 40477 10108481 171844177 24068293261 409160985437