Base | Representation |
---|---|
bin | 11001101001110111011101… |
… | …101011010010110010000000 |
3 | 112210111021100022001111220000 |
4 | 121221313131223102302000 |
5 | 104242034141020344410 |
6 | 1035544322202520000 |
7 | 32523366230465352 |
oct | 3151673553226200 |
9 | 483437308044800 |
10 | 112828215012480 |
11 | 32a501a4a49200 |
12 | 107a2a44b06000 |
13 | 4ac5869112446 |
14 | 1dc0cb40b50d2 |
15 | d09dc2a6adc0 |
hex | 669dddad2c80 |
112828215012480 has 1920 divisors, whose sum is σ = 486481296470400. Its totient is φ = 24785458790400.
The previous prime is 112828215012463. The next prime is 112828215012481. The reversal of 112828215012480 is 84210512828211.
112828215012480 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 8 + 2 + 150 + 12 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×1128282150124802 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (112828215012481) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2741123100 + ... + 2741164260.
It is an arithmetic number, because the mean of its divisors is an integer number (253375675245).
Almost surely, 2112828215012480 is an apocalyptic number.
112828215012480 is a gapful number since it is divisible by the number (10) 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 112828215012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243240648235200).
112828215012480 is an abundant number, since it is smaller than the sum of its proper divisors (373653081457920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112828215012480 is a wasteful number, since it uses less digits than its factorization.
112828215012480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41256 (or 41224 counting only the distinct ones).
The product of its (nonzero) digits is 163840, while the sum is 45.
The spelling of 112828215012480 in words is "one hundred twelve trillion, eight hundred twenty-eight billion, two hundred fifteen million, twelve thousand, four hundred eighty".
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