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85431407187 = 3737823133597
BaseRepresentation
bin100111110010000011…
…0111101001001010011
322011111212021010222010
41033210012331021103
52344430420012222
6103125135314003
76113032656660
oct1174406751123
9264455233863
1085431407187
113325a890755
121468297b903
138096480619
1441c6258a67
15235023e80c
hex13e41bd253

85431407187 has 32 divisors (see below), whose sum is σ = 133863058432. Its totient is φ = 47440473984.

The previous prime is 85431407183. The next prime is 85431407213. The reversal of 85431407187 is 78170413458.

It is not a de Polignac number, because 85431407187 - 22 = 85431407183 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85431407183) 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 in 31 ways as a sum of consecutive naturals, for example, 572673 + ... + 706269.

It is an arithmetic number, because the mean of its divisors is an integer number (4183220576).

Almost surely, 285431407187 is an apocalyptic number.

85431407187 is a deficient number, since it is larger than the sum of its proper divisors (48431651245).

85431407187 is a wasteful number, since it uses less digits than its factorization.

85431407187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134467.

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 85431407187 in words is "eighty-five billion, four hundred thirty-one million, four hundred seven thousand, one hundred eighty-seven".

Divisors: 1 3 7 21 37 111 259 777 823 2469 5761 17283 30451 91353 133597 213157 400791 639471 935179 2805537 4943089 14829267 34601623 103804869 109950331 329850993 769652317 2308956951 4068162247 12204486741 28477135729 85431407187