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85665346680 = 233517312371181
BaseRepresentation
bin100111111001000001…
…1010111010001111000
322012010011110111121210
41033302003113101320
52400420312043210
6103204253403120
76121603301214
oct1176203272170
9265104414553
1085665346680
113336a944981
12147291994a0
138102a8ba64
144209353944
152365a4ee20
hex13f20d7478

85665346680 has 384 divisors, whose sum is σ = 289018290240. Its totient is φ = 20227276800.

The previous prime is 85665346633. The next prime is 85665346681. The reversal of 85665346680 is 8664356658.

It is a self number, because there is not a number n which added to its sum of digits gives 85665346680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85665346681) 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 95 ways as a sum of consecutive naturals, for example, 72535690 + ... + 72536870.

Almost surely, 285665346680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85665346680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144509145120).

85665346680 is an abundant number, since it is smaller than the sum of its proper divisors (203352943560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85665346680 is a wasteful number, since it uses less digits than its factorization.

85665346680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 85665346680 in words is "eighty-five billion, six hundred sixty-five million, three hundred forty-six thousand, six hundred eighty".