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2731006525824 = 273231416130577
BaseRepresentation
bin100111101111011100101…
…011001000000110000000
3100200002012112120221221100
4213233130223020012000
5324221100132311244
65450335043454400
7401210613311043
oct47573453100600
910602175527840
102731006525824
11963238a94235
12381354687400
1316a6c07799c5
1496277b68c5a
154b08e22db69
hex27bdcac8180

2731006525824 has 384 divisors, whose sum is σ = 8446631880960. Its totient is φ = 845365248000.

The previous prime is 2731006525823. The next prime is 2731006525831. The reversal of 2731006525824 is 4285256001372.

2731006525824 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 0 + 0 + 65 + 2 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2731006525824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731006525823) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 89300424 + ... + 89331000.

It is an arithmetic number, because the mean of its divisors is an integer number (21996437190).

Almost surely, 22731006525824 is an apocalyptic number.

2731006525824 is a gapful number since it is divisible by the number (24) 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 2731006525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223315940480).

2731006525824 is an abundant number, since it is smaller than the sum of its proper divisors (5715625355136).

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

2731006525824 is a wasteful number, since it uses less digits than its factorization.

2731006525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30730 (or 30715 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2731006525824 in words is "two trillion, seven hundred thirty-one billion, six million, five hundred twenty-five thousand, eight hundred twenty-four".