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966114112086 = 232211727253501
BaseRepresentation
bin11100000111100001110…
…00110111001001010110
310102100201011010222000100
432003300320313021112
5111312100203041321
62015454322154530
7126541131312624
oct16036070671126
93370634128010
10966114112086
113427aa258852
121372a57b2a46
1370147b26ca6
1434a8dcb0514
151a1e6908326
hexe0f0e37256

966114112086 has 24 divisors (see below), whose sum is σ = 2093265386784. Its totient is φ = 322035246000.

The previous prime is 966114112049. The next prime is 966114112087. The reversal of 966114112086 is 680211411669.

966114112086 is a `hidden beast` number, since 9 + 6 + 611 + 4 + 1 + 1 + 20 + 8 + 6 = 666.

966114112086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966114112087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3684336 + ... + 3937836.

It is an arithmetic number, because the mean of its divisors is an integer number (87219391116).

Almost surely, 2966114112086 is an apocalyptic number.

966114112086 is an abundant number, since it is smaller than the sum of its proper divisors (1127151274698).

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

966114112086 is a wasteful number, since it uses less digits than its factorization.

966114112086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465236 (or 465233 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 966114112086 in words is "nine hundred sixty-six billion, one hundred fourteen million, one hundred twelve thousand, eighty-six".

Divisors: 1 2 3 6 9 18 211727 253501 423454 507002 635181 760503 1270362 1521006 1905543 2281509 3811086 4563018 53673006227 107346012454 161019018681 322038037362 483057056043 966114112086