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83840442660 = 2233513113105691
BaseRepresentation
bin100111000010101000…
…1111010000100100100
322000101222120202221000
41032011101322010210
52333201123131120
6102303223353300
76025434001302
oct1160521720444
9260358522830
1083840442660
1132613820537
12142b9bb2830
137ba198c3b0
1440b4c37272
1522aa727990
hex138547a124

83840442660 has 192 divisors, whose sum is σ = 283389845760. Its totient is φ = 20454819840.

The previous prime is 83840442641. The next prime is 83840442709. The reversal of 83840442660 is 6624404838.

83840442660 is a `hidden beast` number, since 8 + 384 + 0 + 4 + 4 + 266 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740415 + ... + 846105.

It is an arithmetic number, because the mean of its divisors is an integer number (1475988780).

Almost surely, 283840442660 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 83840442660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141694922880).

83840442660 is an abundant number, since it is smaller than the sum of its proper divisors (199549403100).

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

83840442660 is a wasteful number, since it uses less digits than its factorization.

83840442660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105835 (or 105827 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 83840442660 in words is "eighty-three billion, eight hundred forty million, four hundred forty-two thousand, six hundred sixty".