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2086302102048 = 2533193143671423
BaseRepresentation
bin11110010111000001010…
…010111011001000100000
321101110002222110212202000
4132113001102323020200
5233140221314231143
64234233422324000
7303505340161023
oct36270122731040
97343088425660
102086302102048
1173488316846a
1229840a429600
1312197821a748
1472d985d71ba
15394098aabd3
hex1e5c14bb220

2086302102048 has 768 divisors, whose sum is σ = 6871508582400. Its totient is φ = 613026247680.

The previous prime is 2086302102047. The next prime is 2086302102061. The reversal of 2086302102048 is 8402012036802.

2086302102048 is a `hidden beast` number, since 2 + 0 + 8 + 630 + 2 + 10 + 2 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×20863021020482 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2086302102041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1466128665 + ... + 1466130087.

It is an arithmetic number, because the mean of its divisors is an integer number (8947276800).

Almost surely, 22086302102048 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 2086302102048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435754291200).

2086302102048 is an abundant number, since it is smaller than the sum of its proper divisors (4785206480352).

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

2086302102048 is a wasteful number, since it uses less digits than its factorization.

2086302102048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2086302102048 in words is "two trillion, eighty-six billion, three hundred two million, one hundred two thousand, forty-eight".