Base | Representation |
---|---|
bin | 10101011110111010… |
… | …110100010111100000 |
3 | 2012112121012221112100 |
4 | 111132322310113200 |
5 | 334220213014012 |
6 | 14332540330400 |
7 | 1444425634146 |
oct | 253672642740 |
9 | 65477187470 |
10 | 23067313632 |
11 | 9867996170 |
12 | 4579243a00 |
13 | 2237cca00c |
14 | 118b811596 |
15 | 9001a98dc |
hex | 55eeb45e0 |
23067313632 has 144 divisors (see below), whose sum is σ = 74029016880. Its totient is φ = 6749030400.
The previous prime is 23067313627. The next prime is 23067313639. The reversal of 23067313632 is 23631376032.
23067313632 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 7 + 3 + 13 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 (23067313639) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33669 + ... + 217412.
It is an arithmetic number, because the mean of its divisors is an integer number (514090395).
Almost surely, 223067313632 is an apocalyptic number.
23067313632 is a gapful number since it is divisible by the number (22) 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 23067313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37014508440).
23067313632 is an abundant number, since it is smaller than the sum of its proper divisors (50961703248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23067313632 is a wasteful number, since it uses less digits than its factorization.
23067313632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 251137 (or 251126 counting only the distinct ones).
The product of its (nonzero) digits is 81648, while the sum is 36.
Adding to 23067313632 its reverse (23631376032), we get a palindrome (46698689664).
The spelling of 23067313632 in words is "twenty-three billion, sixty-seven million, three hundred thirteen thousand, six hundred thirty-two".
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