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119840772096 = 2123223281503
BaseRepresentation
bin110111110011100010…
…0010001000000000000
3102110022220112222212200
41233213010101000000
53430413214201341
6131015403353200
711441523520053
oct1574704210000
9373286488780
10119840772096
1146907a9a911
121b286522800
13b3bb207186
145b2c138a9a
1531b6001db6
hex1be7111000

119840772096 has 312 divisors, whose sum is σ = 363221179776. Its totient is φ = 37998428160.

The previous prime is 119840772089. The next prime is 119840772097. The reversal of 119840772096 is 690277048911.

It is a super-3 number, since 3×1198407720963 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (119840772097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238251781 + ... + 238252283.

It is an arithmetic number, because the mean of its divisors is an integer number (1164170448).

Almost surely, 2119840772096 is an apocalyptic number.

119840772096 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 119840772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181610589888).

119840772096 is an abundant number, since it is smaller than the sum of its proper divisors (243380407680).

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

119840772096 is a wasteful number, since it uses less digits than its factorization.

119840772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 119840772096 in words is "one hundred nineteen billion, eight hundred forty million, seven hundred seventy-two thousand, ninety-six".