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112783193081856 = 21135111943151167
BaseRepresentation
bin11001101001001101100010…
…001010010000100000000000
3112210022222010122100110200000
4121221031202022100200000
5104240314434412104411
61035511514510400000
732520213443420403
oct3151154212204000
9483288118313600
10112783193081856
1132a330a1274380
121079617b200000
134ac15427c31cb
141dbca42977d3a
15d08b3a249956
hex669362290800

112783193081856 has 2304 divisors, whose sum is σ = 401950041292800. Its totient is φ = 31227420672000.

The previous prime is 112783193081833. The next prime is 112783193081873. The reversal of 112783193081856 is 658180391387211.

It is a happy number.

112783193081856 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 8 + 319 + 308 + 1 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1127831930818562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112783193081793 and 112783193081802.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 675348461485 + ... + 675348461651.

It is an arithmetic number, because the mean of its divisors is an integer number (174457483200).

Almost surely, 2112783193081856 is an apocalyptic number.

112783193081856 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 112783193081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200975020646400).

112783193081856 is an abundant number, since it is smaller than the sum of its proper divisors (289166848210944).

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

112783193081856 is a wasteful number, since it uses less digits than its factorization.

112783193081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 112783193081856 in words is "one hundred twelve trillion, seven hundred eighty-three billion, one hundred ninety-three million, eighty-one thousand, eight hundred fifty-six".