Search a number
-
+
2081027801088 = 214361737277
BaseRepresentation
bin11110010010000110111…
…011000100000000000000
321100221111101221122000000
4132102012323010000000
5233043421104113323
64232002212000000
7303230544310215
oct36220673040000
97327441848000
102081027801088
11732616a3a055
12297398000000
131213175bb4c2
1472a17d31b0c
15391eb81ee43
hex1e486ec4000

2081027801088 has 840 divisors, whose sum is σ = 6810166668312. Its totient is φ = 632933056512.

The previous prime is 2081027800993. The next prime is 2081027801101. The reversal of 2081027801088 is 8801087201802.

It can be written as a sum of positive squares in 4 ways, for example, as 642870411264 + 1438157389824 = 801792^2 + 1199232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7512735606 + ... + 7512735882.

Almost surely, 22081027801088 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 2081027801088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405083334156).

2081027801088 is an abundant number, since it is smaller than the sum of its proper divisors (4729138867224).

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

2081027801088 is an frugal number, since it uses more digits than its factorization.

2081027801088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 2081027801088 in words is "two trillion, eighty-one billion, twenty-seven million, eight hundred one thousand, eighty-eight".