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85346039127 = 3101350235591
BaseRepresentation
bin100111101111100000…
…1010011010101010111
322011021220122000000010
41033133001103111113
52344242041223002
6103112445451303
76110645235336
oct1173701232527
9264256560003
1085346039127
1133216683438
121465a270b33
138081890a8b
1441b8b95d1d
1523479ca46c
hex13df053557

85346039127 has 16 divisors (see below), whose sum is σ = 113950107648. Its totient is φ = 56819711520.

The previous prime is 85346039123. The next prime is 85346039137. The reversal of 85346039127 is 72193064358.

It is not a de Polignac number, because 85346039127 - 22 = 85346039123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85346039123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15262102 + ... + 15267692.

It is an arithmetic number, because the mean of its divisors is an integer number (7121881728).

It is a 1-persistent number, because it is pandigital, but 2⋅85346039127 = 170692078254 is not.

Almost surely, 285346039127 is an apocalyptic number.

85346039127 is a deficient number, since it is larger than the sum of its proper divisors (28604068521).

85346039127 is a wasteful number, since it uses less digits than its factorization.

85346039127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11630.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 85346039127 in words is "eighty-five billion, three hundred forty-six million, thirty-nine thousand, one hundred twenty-seven".

Divisors: 1 3 1013 3039 5023 5591 15069 16773 5088299 5663683 15264897 16991049 28083593 84250779 28448679709 85346039127