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2118296437056 = 263217376957397
BaseRepresentation
bin11110110100110100010…
…011101000000101000000
321111111200201110111102200
4132310310103220011000
5234201232341441211
64301044300113200
7306020234425452
oct36646423500500
97444621414380
102118296437056
11747401129948
122a2659235800
131249a6825517
14747518642d2
153a17d628b56
hex1ed344e8140

2118296437056 has 168 divisors, whose sum is σ = 6430691690280. Its totient is φ = 664375689216.

The previous prime is 2118296437027. The next prime is 2118296437057. The reversal of 2118296437056 is 6507346928112.

It is a happy number.

2118296437056 is a `hidden beast` number, since 2 + 1 + 182 + 96 + 4 + 370 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368983353600 + 1749313083456 = 607440^2 + 1322616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2118296436993 and 2118296437011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118296437057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36877350 + ... + 36934746.

It is a 1-persistent number, because it is pandigital, but 2⋅2118296437056 = 4236592874112 is not.

Almost surely, 22118296437056 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 2118296437056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215345845140).

2118296437056 is an abundant number, since it is smaller than the sum of its proper divisors (4312395253224).

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

2118296437056 is a wasteful number, since it uses less digits than its factorization.

2118296437056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61201 (or 61188 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2118296437056 in words is "two trillion, one hundred eighteen billion, two hundred ninety-six million, four hundred thirty-seven thousand, fifty-six".