Base | Representation |
---|---|
bin | 1000111010000111011… |
… | …0110011101111000000 |
3 | 112122000120112201212110 |
4 | 2032201312303233000 |
5 | 10001411033323231 |
6 | 154145540255320 |
7 | 14025313024005 |
oct | 2164166635700 |
9 | 478016481773 |
10 | 153039354816 |
11 | 599a37a9437 |
12 | 257b06a1540 |
13 | 1157c16296a |
14 | 759b2bd8ac |
15 | 3eaa849046 |
hex | 23a1db3bc0 |
153039354816 has 112 divisors (see below), whose sum is σ = 424647360000. Its totient is φ = 48549676032.
The previous prime is 153039354791. The next prime is 153039354851. The reversal of 153039354816 is 618453930351.
153039354816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 791710 + ... + 965858.
Almost surely, 2153039354816 is an apocalyptic number.
153039354816 is a gapful number since it is divisible by the number (16) 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 153039354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212323680000).
153039354816 is an abundant number, since it is smaller than the sum of its proper divisors (271608005184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153039354816 is a wasteful number, since it uses less digits than its factorization.
153039354816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174386 (or 174376 counting only the distinct ones).
The product of its (nonzero) digits is 1166400, while the sum is 48.
The spelling of 153039354816 in words is "one hundred fifty-three billion, thirty-nine million, three hundred fifty-four thousand, eight hundred sixteen".
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