Base | Representation |
---|---|
bin | 10101101111111110… |
… | …110111000100000000 |
3 | 2020021112220002021200 |
4 | 111233332313010000 |
5 | 340312004222140 |
6 | 14421204221200 |
7 | 1454503130220 |
oct | 255776670400 |
9 | 66245802250 |
10 | 23353585920 |
11 | 99a4543835 |
12 | 463909a800 |
13 | 22823cc5c2 |
14 | 11b7850080 |
15 | 91a3a6030 |
hex | 56ffb7100 |
23353585920 has 216 divisors, whose sum is σ = 92344289856. Its totient is φ = 5337944064.
The previous prime is 23353585903. The next prime is 23353585951. The reversal of 23353585920 is 2958535332.
23353585920 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 3 + 58 + 592 + 0 = 666.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
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, 64162 + ... + 225441.
Almost surely, 223353585920 is an apocalyptic number.
23353585920 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 23353585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46172144928).
23353585920 is an abundant number, since it is smaller than the sum of its proper divisors (68990703936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23353585920 is a wasteful number, since it uses less digits than its factorization.
23353585920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 289637 (or 289620 counting only the distinct ones).
The product of its (nonzero) digits is 972000, while the sum is 45.
The spelling of 23353585920 in words is "twenty-three billion, three hundred fifty-three million, five hundred eighty-five thousand, nine hundred twenty".
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