Base | Representation |
---|---|
bin | 110111111001010111… |
… | …1011011011100110100 |
3 | 102110211120002221021200 |
4 | 1233302233123130310 |
5 | 3431313334331333 |
6 | 131051041412500 |
7 | 11446422401160 |
oct | 1576257333464 |
9 | 373746087250 |
10 | 120036636468 |
11 | 469a86086a1 |
12 | 1b32003a130 |
13 | b41c973c58 |
14 | 5b4a161ca0 |
15 | 31c82e0c13 |
hex | 1bf2bdb734 |
120036636468 has 144 divisors (see below), whose sum is σ = 350351374464. Its totient is φ = 33942862080.
The previous prime is 120036636451. The next prime is 120036636479. The reversal of 120036636468 is 864636630021.
120036636468 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 6 + 636 + 4 + 6 + 8 = 666.
120036636468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46943046 + ... + 46945602.
It is an arithmetic number, because the mean of its divisors is an integer number (2432995656).
Almost surely, 2120036636468 is an apocalyptic number.
120036636468 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 120036636468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175175687232).
120036636468 is an abundant number, since it is smaller than the sum of its proper divisors (230314737996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120036636468 is a wasteful number, since it uses less digits than its factorization.
120036636468 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4422 (or 4417 counting only the distinct ones).
The product of its (nonzero) digits is 746496, while the sum is 45.
The spelling of 120036636468 in words is "one hundred twenty billion, thirty-six million, six hundred thirty-six thousand, four hundred sixty-eight".
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