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83941920000 = 28355417127
BaseRepresentation
bin100111000101101010…
…1000000110100000000
322000200001112100200000
41032023111000310000
52333403112420000
6102321250400000
76031105355511
oct1161325006400
9260601470600
1083941920000
1132666030a04
1214327b90000
137bb99cc463
1440c44d0a08
1522b45c0000
hex138b540d00

83941920000 has 1080 divisors, whose sum is σ = 334700061696. Its totient is φ = 20901888000.

The previous prime is 83941919981. The next prime is 83941920011. The reversal of 83941920000 is 2914938.

83941920000 is a `hidden beast` number, since 8 + 39 + 419 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 660959937 + ... + 660960063.

Almost surely, 283941920000 is an apocalyptic number.

83941920000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83941920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167350030848).

83941920000 is an abundant number, since it is smaller than the sum of its proper divisors (250758141696).

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

83941920000 is an equidigital number, since it uses as much as digits as its factorization.

83941920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 83941920000 in words is "eighty-three billion, nine hundred forty-one million, nine hundred twenty thousand".