Search a number
-
+
1663426080 = 253252961653
BaseRepresentation
bin110001100100101…
…1101111000100000
311021221000210121100
41203021131320200
511401314113310
6433020554400
756135613501
oct14311357040
94257023540
101663426080
11783a626a8
123a50b2a00
132068122b4
1411acc4ba8
159b07bec0
hex6325de20

1663426080 has 288 divisors, whose sum is σ = 5977586160. Its totient is φ = 420618240.

The previous prime is 1663426069. The next prime is 1663426099. The reversal of 1663426080 is 806243661.

1663426080 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 42 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 130233744 + 1533192336 = 11412^2 + 39156^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 2547034 + ... + 2547686.

Almost surely, 21663426080 is an apocalyptic number.

1663426080 is a gapful number since it is divisible by the number (10) 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 1663426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988793080).

1663426080 is an abundant number, since it is smaller than the sum of its proper divisors (4314160080).

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

1663426080 is a wasteful number, since it uses less digits than its factorization.

1663426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1663426080 is about 40785.1208162977. The cubic root of 1663426080 is about 1184.8621748586.

The spelling of 1663426080 in words is "one billion, six hundred sixty-three million, four hundred twenty-six thousand, eighty".