Search a number
-
+
27343443456 = 29347131719
BaseRepresentation
bin11001011101110010…
…111101011000000000
32121120121111211220000
4121131302331120000
5421444410142311
620321132520000
71655411302020
oct313562753000
977517454800
1027343443456
111066172a85a
125371320000
132769bac654
1414756c3a80
15aa07c6056
hex65dcbd600

27343443456 has 400 divisors, whose sum is σ = 94114690560. Its totient is φ = 7741992960.

The previous prime is 27343443443. The next prime is 27343443511. The reversal of 27343443456 is 65434434372.

27343443456 is a `hidden beast` number, since 273 + 4 + 34 + 4 + 345 + 6 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 38029465 + ... + 38030183.

Almost surely, 227343443456 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 27343443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47057345280).

27343443456 is an abundant number, since it is smaller than the sum of its proper divisors (66771247104).

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

27343443456 is an equidigital number, since it uses as much as digits as its factorization.

27343443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 862 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 45.

The spelling of 27343443456 in words is "twenty-seven billion, three hundred forty-three million, four hundred forty-three thousand, four hundred fifty-six".