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273013441056 = 25334143179233
BaseRepresentation
bin1111111001000011011…
…1101000001000100000
3222002200202221210101000
43332100313220020200
513433112420103211
6325230505312000
725503345650046
oct3762067501040
9862622853330
10273013441056
11a5869a74124
1244ab3795600
131c98bb75c35
14d2dcddc396
15717d3d1656
hex3f90de8220

273013441056 has 192 divisors, whose sum is σ = 834685568640. Its totient is φ = 86719610880.

The previous prime is 273013441033. The next prime is 273013441069. The reversal of 273013441056 is 650144310372.

273013441056 is a `hidden beast` number, since 2 + 7 + 301 + 344 + 1 + 0 + 5 + 6 = 666.

It is a super-4 number, since 4×2730134410564 (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 273013441056.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1433616 + ... + 1612848.

It is an arithmetic number, because the mean of its divisors is an integer number (4347320670).

Almost surely, 2273013441056 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 273013441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417342784320).

273013441056 is an abundant number, since it is smaller than the sum of its proper divisors (561672127584).

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

273013441056 is a wasteful number, since it uses less digits than its factorization.

273013441056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179336 (or 179322 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 273013441056 in words is "two hundred seventy-three billion, thirteen million, four hundred forty-one thousand, fifty-six".