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2082009194496 = 2133571117247
BaseRepresentation
bin11110010011000001011…
…010110010000000000000
321101001000210121120200000
4132103001122302000000
5233102423323210441
64232243430400000
7303264062104410
oct36230132620000
97331023546600
102082009194496
11732a7aa04490
12297610800000
13121442a1256a
1472aac3d8640
1539257a782b6
hex1e4c16b2000

2082009194496 has 2016 divisors, whose sum is σ = 8436176566272. Its totient is φ = 498141757440.

The previous prime is 2082009194483. The next prime is 2082009194537. The reversal of 2082009194496 is 6944919002802.

2082009194496 is a `hidden beast` number, since 208 + 200 + 9 + 194 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44298067945 + ... + 44298067991.

It is an arithmetic number, because the mean of its divisors is an integer number (4184611392).

Almost surely, 22082009194496 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 2082009194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218088283136).

2082009194496 is an abundant number, since it is smaller than the sum of its proper divisors (6354167371776).

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

2082009194496 is an equidigital number, since it uses as much as digits as its factorization.

2082009194496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2082009194496 in words is "two trillion, eighty-two billion, nine million, one hundred ninety-four thousand, four hundred ninety-six".