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2083976398080 = 2835519352633
BaseRepresentation
bin11110010100110110101…
…011000100010100000000
321101020002220020212200000
4132110312223010110000
5233120440424214310
64233210542400000
7303363610053003
oct36246653042400
97336086225600
102083976398080
1173389a390675
12297a7b590000
13121697445b55
1472c1779753a
153932060d4c0
hex1e536ac4500

2083976398080 has 432 divisors, whose sum is σ = 7870960144320. Its totient is φ = 526476754944.

The previous prime is 2083976398067. The next prime is 2083976398087. The reversal of 2083976398080 is 808936793802.

2083976398080 is a `hidden beast` number, since 2 + 0 + 83 + 97 + 6 + 398 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 2083976397999 and 2083976398017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083976398087) by changing a digit.

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, 5733444 + ... + 6086076.

Almost surely, 22083976398080 is an apocalyptic number.

2083976398080 is a gapful number since it is divisible by the number (20) 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 2083976398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935480072160).

2083976398080 is an abundant number, since it is smaller than the sum of its proper divisors (5786983746240).

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

2083976398080 is an equidigital number, since it uses as much as digits as its factorization.

2083976398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352688 (or 352662 counting only the distinct ones).

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

The spelling of 2083976398080 in words is "two trillion, eighty-three billion, nine hundred seventy-six million, three hundred ninety-eight thousand, eighty".