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112883786256384 = 212321113411733019
BaseRepresentation
bin11001101010101011001101…
…111110110001000000000000
3112210200120210011011012101200
4121222223031332301000000
5104243441443240201014
61040030032343301200
732530404312326613
oct3152531576610000
9483616704135350
10112883786256384
1132a71821516260
12107b177374a800
134acab8417b8a0
141dc38666c617a
15d0b5765a4a09
hex66aacdfb1000

112883786256384 has 1248 divisors, whose sum is σ = 394816270343040. Its totient is φ = 30617527910400.

The previous prime is 112883786256379. The next prime is 112883786256403. The reversal of 112883786256384 is 483652687388211.

It is a happy number.

112883786256384 is a `hidden beast` number, since 1 + 1 + 28 + 8 + 37 + 8 + 6 + 2 + 563 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37391116827 + ... + 37391119845.

It is an arithmetic number, because the mean of its divisors is an integer number (316359190980).

Almost surely, 2112883786256384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112883786256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197408135171520).

112883786256384 is an abundant number, since it is smaller than the sum of its proper divisors (281932484086656).

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

112883786256384 is a wasteful number, since it uses less digits than its factorization.

112883786256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3262 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 112883786256384 in words is "one hundred twelve trillion, eight hundred eighty-three billion, seven hundred eighty-six million, two hundred fifty-six thousand, three hundred eighty-four".