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1146442896 = 243867163
BaseRepresentation
bin100010001010101…
…0101010010010000
32221220020100000000
41010111111102100
54321442133041
6305432130000
740260414054
oct10425252220
92856210000
101146442896
11539156575
1227bb36900
13153691ca1
14ac38bc64
156a9abbb6
hex44555490

1146442896 has 180 divisors, whose sum is σ = 3402151792. Its totient is φ = 374134464.

The previous prime is 1146442883. The next prime is 1146442897. The reversal of 1146442896 is 6982446411.

1146442896 is a `hidden beast` number, since 114 + 6 + 442 + 8 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1146442897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7033311 + ... + 7033473.

Almost surely, 21146442896 is an apocalyptic number.

1146442896 is a gapful number since it is divisible by the number (16) 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 1146442896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701075896).

1146442896 is an abundant number, since it is smaller than the sum of its proper divisors (2255708896).

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

1146442896 is an frugal number, since it uses more digits than its factorization.

1146442896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 235 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1146442896 is about 33859.1626594634. The cubic root of 1146442896 is about 1046.6082228085.

The spelling of 1146442896 in words is "one billion, one hundred forty-six million, four hundred forty-two thousand, eight hundred ninety-six".