| Base | Representation |
|---|---|
| bin | 1000111001011101110… |
| … | …0111011101010000000 |
| 3 | 112121120102002101210120 |
| 4 | 2032113130323222000 |
| 5 | 10001031342034420 |
| 6 | 154120343100240 |
| 7 | 14021063232660 |
| oct | 2162734735200 |
| 9 | 477512071716 |
| 10 | 152864799360 |
| 11 | 59914215329 |
| 12 | 25762141680 |
| 13 | 11551c47000 |
| 14 | 75820421a0 |
| 15 | 3e9a368d40 |
| hex | 239773ba80 |
152864799360 has 1024 divisors, whose sum is σ = 626437324800. Its totient is φ = 31025479680.
The previous prime is 152864799313. The next prime is 152864799389. The reversal of 152864799360 is 63997468251.
152864799360 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 (60).
It is a junction number, because it is equal to n+sod(n) for n = 152864799294 and 152864799303.
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 127 ways as a sum of consecutive naturals, for example, 915357997 + ... + 915358163.
It is an arithmetic number, because the mean of its divisors is an integer number (611755200).
It is a 1-persistent number, because it is pandigital, but 2⋅152864799360 = 305729598720 is not.
Almost surely, 2152864799360 is an apocalyptic number.
152864799360 is a gapful number since it is divisible by the number (10) 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 152864799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313218662400).
152864799360 is an abundant number, since it is smaller than the sum of its proper divisors (473572525440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152864799360 is a wasteful number, since it uses less digits than its factorization.
152864799360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 60.
The spelling of 152864799360 in words is "one hundred fifty-two billion, eight hundred sixty-four million, seven hundred ninety-nine thousand, three hundred sixty".
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