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119738077056 = 27321361131071
BaseRepresentation
bin110111110000011110…
…0100000111110000000
3102110001202022112202200
41233200330200332000
53430210421431211
6131001254313200
711436135601443
oct1574074407600
9373052275680
10119738077056
1146865028584
121b258058800
13b3a2b5ba90
145b1c64565a
1531abeb8b56
hex1be0f20f80

119738077056 has 192 divisors, whose sum is σ = 377149194240. Its totient is φ = 36238233600.

The previous prime is 119738077051. The next prime is 119738077079. The reversal of 119738077056 is 650770837911.

119738077056 is a `hidden beast` number, since 1 + 197 + 380 + 7 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 119738076993 and 119738077011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119738077051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848001 + ... + 979071.

It is an arithmetic number, because the mean of its divisors is an integer number (1964318720).

Almost surely, 2119738077056 is an apocalyptic number.

119738077056 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 119738077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188574597120).

119738077056 is an abundant number, since it is smaller than the sum of its proper divisors (257411117184).

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

119738077056 is a wasteful number, since it uses less digits than its factorization.

119738077056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131165 (or 131150 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 119738077056 in words is "one hundred nineteen billion, seven hundred thirty-eight million, seventy-seven thousand, fifty-six".