Search a number
-
+
428731439616 = 293517613323
BaseRepresentation
bin1100011110100100110…
…00101001101000000000
31111222122000211201200000
412033102120221220000
524011020222031431
6524542334400000
742655236052044
oct6172230515000
91458560751600
10428731439616
111559077a2217
126b111360000
1331576c5579c
1416a71d52024
15b243e929e6
hex63d2629a00

428731439616 has 480 divisors, whose sum is σ = 1381345213248. Its totient is φ = 132259184640.

The previous prime is 428731439597. The next prime is 428731439623. The reversal of 428731439616 is 616934137824.

428731439616 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 3 + 14 + 3 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129017731 + ... + 129021053.

Almost surely, 2428731439616 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 428731439616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690672606624).

428731439616 is an abundant number, since it is smaller than the sum of its proper divisors (952613773632).

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

428731439616 is an equidigital number, since it uses as much as digits as its factorization.

428731439616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3406 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 428731439616 in words is "four hundred twenty-eight billion, seven hundred thirty-one million, four hundred thirty-nine thousand, six hundred sixteen".