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119713232016 = 24347213732
BaseRepresentation
bin110111101111101110…
…1101111010010010000
3102110000000120021210000
41233133131233102100
53430133041411031
6130555010010000
711435414453100
oct1573735572220
9373000507700
10119713232016
1146851aa9094
121b24b876900
13b39a970281
145b19219200
1531a9c0c3e6
hex1bdf76f490

119713232016 has 225 divisors, whose sum is σ = 403347546921. Its totient is φ = 34178868864.

The previous prime is 119713231987. The next prime is 119713232017. The reversal of 119713232016 is 610232317911.

The square root of 119713232016 is 345996.

It is a perfect power (a square), and thus also a powerful number.

119713232016 is a `hidden beast` number, since 1 + 197 + 132 + 320 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118322240400 + 1390991616 = 343980^2 + 37296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (119713232017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87190306 + ... + 87191678.

Almost surely, 2119713232016 is an apocalyptic number.

119713232016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

119713232016 is the 345996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119713232016

119713232016 is an abundant number, since it is smaller than the sum of its proper divisors (283634314905).

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

119713232016 is an frugal number, since it uses more digits than its factorization.

119713232016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 119713232016 by its sum of digits (36), we get a square (4309676352576 = 20759762).

119713232016 divided by its sum of digits (36) gives a square (3325367556 = 576662).

Adding to 119713232016 its reverse (610232317911), we get a palindrome (729945549927).

The spelling of 119713232016 in words is "one hundred nineteen billion, seven hundred thirteen million, two hundred thirty-two thousand, sixteen".