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86616063792 = 243217612112749
BaseRepresentation
bin101000010101010111…
…0000011111100110000
322021120102101221022200
41100222232003330300
52404342203020132
6103442454503200
76154266252216
oct1205256037460
9267512357280
1086616063792
11338085677a5
1214953664b00
138224a3206b
144299712cb6
1523be248d7c
hex142ab83f30

86616063792 has 240 divisors, whose sum is σ = 262203084000. Its totient is φ = 26591846400.

The previous prime is 86616063773. The next prime is 86616063823. The reversal of 86616063792 is 29736061668.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31506834 + ... + 31509582.

It is an arithmetic number, because the mean of its divisors is an integer number (1092512850).

Almost surely, 286616063792 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 86616063792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131101542000).

86616063792 is an abundant number, since it is smaller than the sum of its proper divisors (175587020208).

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

86616063792 is a wasteful number, since it uses less digits than its factorization.

86616063792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 86616063792 in words is "eighty-six billion, six hundred sixteen million, sixty-three thousand, seven hundred ninety-two".