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196087219848 = 23331317191032099
BaseRepresentation
bin1011011010011110110…
…1011000011010001000
3200202010122200212012000
42312213231120122020
511203041312013343
6230025313351000
720111136603462
oct2664755303210
9622118625160
10196087219848
117618413a5a3
1232005268460
131564c7b8150
1496c2593132
155179bcbed3
hex2da7b58688

196087219848 has 512 divisors, whose sum is σ = 660441600000. Its totient is φ = 53249052672.

The previous prime is 196087219837. The next prime is 196087219849. The reversal of 196087219848 is 848912780691.

196087219848 is a `hidden beast` number, since 1 + 9 + 608 + 7 + 2 + 19 + 8 + 4 + 8 = 666.

196087219848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (196087219849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93418303 + ... + 93420401.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925000).

Almost surely, 2196087219848 is an apocalyptic number.

196087219848 is a gapful number since it is divisible by the number (18) 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 196087219848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800000).

196087219848 is an abundant number, since it is smaller than the sum of its proper divisors (464354380152).

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

196087219848 is a wasteful number, since it uses less digits than its factorization.

196087219848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 196087219848 in words is "one hundred ninety-six billion, eighty-seven million, two hundred nineteen thousand, eight hundred forty-eight".