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85665504078 = 2327113711314783
BaseRepresentation
bin100111111001000001…
…1111101101101001110
322012010011202111112100
41033302003331231032
52400420332112303
6103204301015530
76121604525130
oct1176203755516
9265104674470
1085665504078
113336aa42160
12147292545a6
138102b155ab
144209395050
152365a818a3
hex13f20fdb4e

85665504078 has 192 divisors, whose sum is σ = 239781814272. Its totient is φ = 21456368640.

The previous prime is 85665504073. The next prime is 85665504107. The reversal of 85665504078 is 87040556658.

85665504078 is a `hidden beast` number, since 8 + 5 + 6 + 65 + 504 + 0 + 78 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85665504073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5787475 + ... + 5802257.

It is an arithmetic number, because the mean of its divisors is an integer number (1248863616).

Almost surely, 285665504078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85665504078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119890907136).

85665504078 is an abundant number, since it is smaller than the sum of its proper divisors (154116310194).

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

85665504078 is a wasteful number, since it uses less digits than its factorization.

85665504078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14959 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 85665504078 in words is "eighty-five billion, six hundred sixty-five million, five hundred four thousand, seventy-eight".