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2084748589872 = 243513314728309
BaseRepresentation
bin11110010101100100101…
…100101111101100110000
321101022002201021021200000
4132111210230233230300
5233124031114333442
64233415325230000
7303422004430014
oct36254454575460
97338081237600
102084748589872
11734156258803
12298056102300
1312178b410580
1472c8c164544
15393682e0d4c
hex1e564b2fb30

2084748589872 has 480 divisors, whose sum is σ = 6869453660160. Its totient is φ = 607539502080.

The previous prime is 2084748589843. The next prime is 2084748589873. The reversal of 2084748589872 is 2789858474802.

2084748589872 is a `hidden beast` number, since 2 + 0 + 8 + 474 + 8 + 5 + 89 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2084748589872.

It is not an unprimeable number, because it can be changed into a prime (2084748589873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73628454 + ... + 73656762.

It is an arithmetic number, because the mean of its divisors is an integer number (14311361792).

Almost surely, 22084748589872 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 2084748589872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434726830080).

2084748589872 is an abundant number, since it is smaller than the sum of its proper divisors (4784705070288).

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

2084748589872 is a wasteful number, since it uses less digits than its factorization.

2084748589872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28423 (or 28405 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 2084748589872 in words is "two trillion, eighty-four billion, seven hundred forty-eight million, five hundred eighty-nine thousand, eight hundred seventy-two".