Base | Representation |
---|---|
bin | 1010101100000111011100… |
… | …00001111111010001110010 |
3 | 10002020011020100122010012100 |
4 | 11112003232001333101302 |
5 | 11040110344430324300 |
6 | 121554310554441230 |
7 | 4644153641640534 |
oct | 526035601772162 |
9 | 102204210563170 |
10 | 23506054542450 |
11 | 7542952a955a7 |
12 | 277776a133216 |
13 | 10167c44162ac |
14 | 5b39b0503854 |
15 | 2ab6a6a1b700 |
hex | 1560ee07f472 |
23506054542450 has 144 divisors (see below), whose sum is σ = 65207413529856. Its totient is φ = 6064469827200.
The previous prime is 23506054542371. The next prime is 23506054542473. The reversal of 23506054542450 is 5424545060532.
23506054542450 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 6 + 0 + 54 + 542 + 4 + 50 = 666.
It is a super-3 number, since 3×235060545424503 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a junction number, because it is equal to n+sod(n) for n = 23506054542396 and 23506054542405.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52830312 + ... + 53273388.
It is an arithmetic number, because the mean of its divisors is an integer number (452829260624).
Almost surely, 223506054542450 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23506054542450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32603706764928).
23506054542450 is an abundant number, since it is smaller than the sum of its proper divisors (41701358987406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23506054542450 is a wasteful number, since it uses less digits than its factorization.
23506054542450 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 446929 (or 446921 counting only the distinct ones).
The product of its (nonzero) digits is 2880000, while the sum is 45.
The spelling of 23506054542450 in words is "twenty-three trillion, five hundred six billion, fifty-four million, five hundred forty-two thousand, four hundred fifty".
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