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2094256013840 = 245131129199637
BaseRepresentation
bin11110011110011011011…
…000101100001000010000
321102012122022011110111122
4132132123120230020100
5233303014014420330
64242030554301412
7304206421255154
oct36363330541020
97365568143448
102094256013840
11738194a17091
12299a6a127868
13122645044b23
1473510b05064
1539722d005e5
hex1e79b62c210

2094256013840 has 40 divisors (see below), whose sum is σ = 4869206754840. Its totient is φ = 837691821056.

The previous prime is 2094256013767. The next prime is 2094256013881. The reversal of 2094256013840 is 483106524902.

It can be written as a sum of positive squares in 4 ways, for example, as 111206242576 + 1983049771264 = 333476^2 + 1408208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2094256013791 and 2094256013800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10390502 + ... + 10590138.

It is an arithmetic number, because the mean of its divisors is an integer number (121730168871).

Almost surely, 22094256013840 is an apocalyptic number.

2094256013840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2094256013840 is an abundant number, since it is smaller than the sum of its proper divisors (2774950741000).

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

2094256013840 is a wasteful number, since it uses less digits than its factorization.

2094256013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330779 (or 330773 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 2094256013840 in words is "two trillion, ninety-four billion, two hundred fifty-six million, thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131129 199637 262258 399274 524516 655645 798548 998185 1049032 1311290 1597096 1996370 2098064 2622580 3194192 3992740 5245160 7985480 10490320 15970960 26178200173 52356400346 104712800692 130891000865 209425601384 261782001730 418851202768 523564003460 1047128006920 2094256013840