Base | Representation |
---|---|
bin | 11110011100100110101100… |
… | …001101001001000000000000 |
3 | 122120010101120221211012200000 |
4 | 132130212230031021000000 |
5 | 120022413202113411110 |
6 | 1152444022042400000 |
7 | 40130316246130011 |
oct | 3634465415110000 |
9 | 576111527735600 |
10 | 133907084513280 |
11 | 39737748291451 |
12 | 1302810b800000 |
13 | 59944cb527880 |
14 | 250d1cd317008 |
15 | 107336d2791c0 |
hex | 79c9ac349000 |
133907084513280 has 1248 divisors, whose sum is σ = 527173037838720. Its totient is φ = 32402146590720.
The previous prime is 133907084513233. The next prime is 133907084513281. The reversal of 133907084513280 is 82315480709331.
133907084513280 is a `hidden beast` number, since 1 + 3 + 3 + 90 + 70 + 8 + 451 + 32 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1248).
It is a super-2 number, since 2×1339070845132802 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (133907084513281) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3817065340 + ... + 3817100420.
It is an arithmetic number, because the mean of its divisors is an integer number (422414293140).
Almost surely, 2133907084513280 is an apocalyptic number.
133907084513280 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 133907084513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263586518919360).
133907084513280 is an abundant number, since it is smaller than the sum of its proper divisors (393265953325440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133907084513280 is an equidigital number, since it uses as much as digits as its factorization.
133907084513280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35197 (or 35163 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 133907084513280 in words is "one hundred thirty-three trillion, nine hundred seven billion, eighty-four million, five hundred thirteen thousand, two hundred eighty".
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