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27430043472 = 24341329311811
BaseRepresentation
bin11001100010111101…
…010011111101010000
32121210122110120210000
4121202331103331100
5422134042342342
620333505010000
71660512344136
oct314275237520
977718416700
1027430043472
11106a65a9717
125396323900
132781b10b70
141482dc7756
15aa81d044c
hex662f53f50

27430043472 has 400 divisors, whose sum is σ = 91349153280. Its totient is φ = 7881753600.

The previous prime is 27430043461. The next prime is 27430043477. The reversal of 27430043472 is 27434003472.

27430043472 is a `hidden beast` number, since 2 + 7 + 4 + 300 + 4 + 347 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27430043477) 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 79 ways as a sum of consecutive naturals, for example, 15145447 + ... + 15147257.

Almost surely, 227430043472 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 27430043472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45674576640).

27430043472 is an abundant number, since it is smaller than the sum of its proper divisors (63919109808).

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

27430043472 is a wasteful number, since it uses less digits than its factorization.

27430043472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 27430043472 in words is "twenty-seven billion, four hundred thirty million, forty-three thousand, four hundred seventy-two".