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2099187124992 = 2835239271521
BaseRepresentation
bin11110100011000001010…
…011011000101100000000
321102200100221220212100000
4132203001103120230000
5233343113400444432
64244204145200000
7304442546104416
oct36430123305400
97380327825300
102099187124992
1173a295451961
1229aa05630000
13122c4c833889
147385b9932b6
1539910b9a57c
hex1e8c14d8b00

2099187124992 has 432 divisors, whose sum is σ = 6338302064640. Its totient is φ = 692897587200.

The previous prime is 2099187124981. The next prime is 2099187125071. The reversal of 2099187124992 is 2994217819902.

2099187124992 is a `hidden beast` number, since 209 + 9 + 187 + 1 + 249 + 9 + 2 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4029149692 + ... + 4029150212.

It is an arithmetic number, because the mean of its divisors is an integer number (14671995520).

Almost surely, 22099187124992 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 2099187124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169151032320).

2099187124992 is an abundant number, since it is smaller than the sum of its proper divisors (4239114939648).

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

2099187124992 is an equidigital number, since it uses as much as digits as its factorization.

2099187124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 2099187124992 in words is "two trillion, ninety-nine billion, one hundred eighty-seven million, one hundred twenty-four thousand, nine hundred ninety-two".