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7056000000000 = 213325972
BaseRepresentation
bin110011010101101101001…
…0111111010000000000000
3220222112202202211201200100
41212223122113322000000
51411101142000000000
623001252011522400
71325531154261300
oct146533227720000
926875682751610
107056000000000
112280484061186
1295b600159400
133c24bb4640c3
141a5725775600
15c3821bcba00
hex66ada5fa000

7056000000000 has 1260 divisors, whose sum is σ = 29638187883018. Its totient is φ = 1612800000000.

The previous prime is 7055999999947. The next prime is 7056000000017. The reversal of 7056000000000 is 6507.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6638084296704 + 417915703296 = 2576448^2 + 646464^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 7056000000000.

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 89 ways as a sum of consecutive naturals, for example, 1007999999997 + ... + 1008000000003.

Almost surely, 27056000000000 is an apocalyptic number.

7056000000000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819093941509).

7056000000000 is an abundant number, since it is smaller than the sum of its proper divisors (22582187883018).

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

7056000000000 is an frugal number, since it uses more digits than its factorization.

7056000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

Adding to 7056000000000 its reverse (6507), we get a palindrome (7056000006507).

The spelling of 7056000000000 in words is "seven trillion, fifty-six billion", and thus it is an aban number and an uban number.