Search a number
-
+
2118442245696 = 263272694434409
BaseRepresentation
bin11110110100111100111…
…111110101111001000000
321111112001212211100021200
4132310330333311321000
5234202032203330241
64301110545221200
7306023654660520
oct36647477657100
97445055740250
102118442245696
11747476469057
122a269a031800
131249caab771a
1474766d7b680
153a18b32b4b6
hex1ed3cff5e40

2118442245696 has 336 divisors, whose sum is σ = 6982683926400. Its totient is φ = 601521463296.

The previous prime is 2118442245671. The next prime is 2118442245713. The reversal of 2118442245696 is 6965422448112.

2118442245696 is a `hidden beast` number, since 2 + 1 + 1 + 84 + 4 + 22 + 456 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 480479140 + ... + 480483548.

It is an arithmetic number, because the mean of its divisors is an integer number (20781797400).

Almost surely, 22118442245696 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 2118442245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491341963200).

2118442245696 is an abundant number, since it is smaller than the sum of its proper divisors (4864241680704).

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

2118442245696 is a wasteful number, since it uses less digits than its factorization.

2118442245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5133 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 2118442245696 in words is "two trillion, one hundred eighteen billion, four hundred forty-two million, two hundred forty-five thousand, six hundred ninety-six".