Base | Representation |
---|---|
bin | 10101111001000100… |
… | …101101111110000000 |
3 | 2020200011220102212200 |
4 | 111321010231332000 |
5 | 341120031211410 |
6 | 14444253353200 |
7 | 1461334456560 |
oct | 257104557600 |
9 | 66604812780 |
10 | 23506116480 |
11 | 9a72654250 |
12 | 4680198800 |
13 | 22a7ba6282 |
14 | 11cdbd6da0 |
15 | 9289853c0 |
hex | 57912df80 |
23506116480 has 384 divisors, whose sum is σ = 101200320000. Its totient is φ = 4884295680.
The previous prime is 23506116421. The next prime is 23506116481. The reversal of 23506116480 is 8461160532.
It is a happy number.
23506116480 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 6 + 1 + 1 + 648 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×235061164803 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23506116481) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417021 + ... + 470019.
It is an arithmetic number, because the mean of its divisors is an integer number (263542500).
Almost surely, 223506116480 is an apocalyptic number.
23506116480 is a gapful number since it is divisible by the number (20) 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 23506116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50600160000).
23506116480 is an abundant number, since it is smaller than the sum of its proper divisors (77694203520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23506116480 is a wasteful number, since it uses less digits than its factorization.
23506116480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53042 (or 53027 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The spelling of 23506116480 in words is "twenty-three billion, five hundred six million, one hundred sixteen thousand, four hundred eighty".
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