Base | Representation |
---|---|
bin | 111000010101110001… |
… | …1000110011101000000 |
3 | 102120021222110212222000 |
4 | 1300223203012131000 |
5 | 3440241331043143 |
6 | 131325405144000 |
7 | 11512144350531 |
oct | 1605343063500 |
9 | 376258425860 |
10 | 120989706048 |
11 | 47347597a02 |
12 | 1b54725b000 |
13 | b54225bc53 |
14 | 5bda974688 |
15 | 3231d01bd3 |
hex | 1c2b8c6740 |
120989706048 has 112 divisors (see below), whose sum is σ = 355969824000. Its totient is φ = 40297872384.
The previous prime is 120989706017. The next prime is 120989706053. The reversal of 120989706048 is 840607989021.
120989706048 is a `hidden beast` number, since 1 + 20 + 9 + 8 + 9 + 7 + 0 + 604 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 120989705985 and 120989706003.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200233 + ... + 2254551.
It is an arithmetic number, because the mean of its divisors is an integer number (3178302000).
Almost surely, 2120989706048 is an apocalyptic number.
120989706048 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 120989706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177984912000).
120989706048 is an abundant number, since it is smaller than the sum of its proper divisors (234980117952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120989706048 is a wasteful number, since it uses less digits than its factorization.
120989706048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55629 (or 55613 counting only the distinct ones).
The product of its (nonzero) digits is 1741824, while the sum is 54.
The spelling of 120989706048 in words is "one hundred twenty billion, nine hundred eighty-nine million, seven hundred six thousand, forty-eight".
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