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83982063978 = 233233197113199
BaseRepresentation
bin100111000110110111…
…0001001100101101010
322000202212001212212000
41032031232021211222
52333443402021403
6102325243031430
76032103523401
oct1161556114552
9260685055760
1083982063978
113268675a74a
121433950b576
137bc51166a7
1440c9980638
1522b7d9e7a3
hex138db8996a

83982063978 has 256 divisors, whose sum is σ = 205922304000. Its totient is φ = 25291284480.

The previous prime is 83982063961. The next prime is 83982064003. The reversal of 83982063978 is 87936028938.

83982063978 is a `hidden beast` number, since 8 + 39 + 8 + 206 + 397 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422020323 + ... + 422020521.

It is an arithmetic number, because the mean of its divisors is an integer number (804384000).

Almost surely, 283982063978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83982063978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152000).

83982063978 is an abundant number, since it is smaller than the sum of its proper divisors (121940240022).

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

83982063978 is a wasteful number, since it uses less digits than its factorization.

83982063978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 83982063978 in words is "eighty-three billion, nine hundred eighty-two million, sixty-three thousand, nine hundred seventy-eight".