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83936656440 = 2332571319134851
BaseRepresentation
bin100111000101100000…
…0111011110000111000
322000122200121221102100
41032023000323300320
52333400241001230
6102320541503400
76031012544040
oct1161300736070
9260580557370
1083936656440
113266306635a
1214326271b60
137bb88a8720
1440c3920720
1522b3dd0660
hex138b03bc38

83936656440 has 384 divisors, whose sum is σ = 353420121600. Its totient is φ = 16777497600.

The previous prime is 83936656417. The next prime is 83936656451. The reversal of 83936656440 is 4465663938.

83936656440 is a `hidden beast` number, since 8 + 3 + 9 + 36 + 6 + 564 + 40 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 555015 + ... + 689865.

It is an arithmetic number, because the mean of its divisors is an integer number (920364900).

Almost surely, 283936656440 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 83936656440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176710060800).

83936656440 is an abundant number, since it is smaller than the sum of its proper divisors (269483465160).

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

83936656440 is a wasteful number, since it uses less digits than its factorization.

83936656440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134907 (or 134900 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 83936656440 in words is "eighty-three billion, nine hundred thirty-six million, six hundred fifty-six thousand, four hundred forty".